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53330435015440 = 24511894987136541
BaseRepresentation
bin11000010000000111101011…
…01000101000001100010000
320222211100011201012112201011
430020003311220220030100
523442231212330443230
6305231355202020304
714142665616106162
oct1410036550501420
9228740151175634
1053330435015440
1115aa1346276690
125b93966947694
13239b0665c7c4b
14d252c7768932
156273a8969e2a
hex3080f5a28310

53330435015440 has 160 divisors (see below), whose sum is σ = 136813642116480. Its totient is φ = 19171002470400.

The previous prime is 53330435015321. The next prime is 53330435015483. The reversal of 53330435015440 is 4451053403335.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 53330435015393 and 53330435015402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390513570 + ... + 390650110.

It is an arithmetic number, because the mean of its divisors is an integer number (855085263228).

Almost surely, 253330435015440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53330435015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68406821058240).

53330435015440 is an abundant number, since it is smaller than the sum of its proper divisors (83483207101040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53330435015440 is a wasteful number, since it uses less digits than its factorization.

53330435015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141641 (or 141635 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 40.

Adding to 53330435015440 its reverse (4451053403335), we get a palindrome (57781488418775).

The spelling of 53330435015440 in words is "fifty-three trillion, three hundred thirty billion, four hundred thirty-five million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 89 110 176 178 220 356 440 445 712 880 890 979 1424 1780 1958 3560 3916 4895 4987 7120 7832 9790 9974 15664 19580 19948 24935 39160 39896 49870 54857 78320 79792 99740 109714 136541 199480 219428 273082 274285 398960 438856 443843 546164 548570 682705 877712 887686 1092328 1097140 1365410 1501951 1775372 2184656 2194280 2219215 2730820 3003902 3550744 4388560 4438430 4882273 5461640 6007804 7101488 7509755 8876860 9764546 10923280 12015608 12152149 15019510 17753720 19529092 24031216 24304298 24411365 30039020 35507440 39058184 48608596 48822730 60078040 60760745 78116368 97217192 97645460 120156080 121521490 133673639 194434384 195290920 243042980 267347278 390581840 486085960 534694556 668368195 680929967 972171920 1069389112 1336736390 1361859934 2138778224 2673472780 2723719868 3404649835 5346945560 5447439736 6809299670 7490229637 10693891120 10894879472 13618599340 14980459274 27237198680 29960918548 37451148185 54474397360 59921837096 60602767063 74902296370 119843674192 121205534126 149804592740 242411068252 299609185480 303013835315 484822136504 599218370960 606027670630 666630437693 969644273008 1212055341260 1333260875386 2424110682520 2666521750772 3333152188465 4848221365040 5333043501544 6666304376930 10666087003088 13332608753860 26665217507720 53330435015440