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1054331241360 = 24355992980149
BaseRepresentation
bin11110101011110110000…
…10100000001110010000
310201210102011020110021120
433111323002200032100
5114233232244210420
62124204133322240
7136113211453425
oct17257302401620
93653364213246
101054331241360
11377159554761
12150405496380
1378566475a77
143905c0b3d4c
151c65b4b1d40
hexf57b0a0390

1054331241360 has 160 divisors (see below), whose sum is σ = 3327443280000. Its totient is φ = 276088700928.

The previous prime is 1054331241323. The next prime is 1054331241407. The reversal of 1054331241360 is 631421334501.

It is a super-2 number, since 2×10543312413602 (a number of 25 digits) contains 22 as substring.

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, 13114566 + ... + 13194714.

It is an arithmetic number, because the mean of its divisors is an integer number (20796520500).

Almost surely, 21054331241360 is an apocalyptic number.

1054331241360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054331241360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663721640000).

1054331241360 is an abundant number, since it is smaller than the sum of its proper divisors (2273112038640).

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

1054331241360 is a wasteful number, since it uses less digits than its factorization.

1054331241360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81153 (or 81147 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 1054331241360 its reverse (631421334501), we get a palindrome (1685752575861).

The spelling of 1054331241360 in words is "one trillion, fifty-four billion, three hundred thirty-one million, two hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 929 944 1180 1416 1770 1858 2360 2787 2832 3540 3716 4645 4720 5574 7080 7432 9290 11148 13935 14160 14864 18580 22296 27870 37160 44592 54811 55740 74320 80149 109622 111480 160298 164433 219244 222960 240447 274055 320596 328866 400745 438488 480894 548110 641192 657732 801490 822165 876976 961788 1096220 1202235 1282384 1315464 1602980 1644330 1923576 2192440 2404470 2630928 3205960 3288660 3847152 4384880 4728791 4808940 6411920 6577320 9457582 9617880 13154640 14186373 18915164 19235760 23643955 28372746 37830328 47287910 56745492 70931865 74458421 75660656 94575820 113490984 141863730 148916842 189151640 223375263 226981968 283727460 297833684 372292105 378303280 446750526 567454920 595667368 744584210 893501052 1116876315 1134909840 1191334736 1489168420 1787002104 2233752630 2978336840 3574004208 4393046839 4467505260 5956673680 8786093678 8935010520 13179140517 17572187356 17870021040 21965234195 26358281034 35144374712 43930468390 52716562068 65895702585 70288749424 87860936780 105433124136 131791405170 175721873560 210866248272 263582810340 351443747120 527165620680 1054331241360