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1352421431040 = 28352912144589
BaseRepresentation
bin10011101011100010100…
…110010101011100000000
311210021211120112001210010
4103223202212111130000
5134124224341243130
62513143244504520
7166465156330011
oct23534246253400
94707746461703
101352421431040
11481616705219
1219a13724b140
139a6c07176a4
1449659717008
15252a61760b0
hex13ae2995700

1352421431040 has 144 divisors (see below), whose sum is σ = 4468237552800. Its totient is φ = 348209627136.

The previous prime is 1352421431027. The next prime is 1352421431057. The reversal of 1352421431040 is 401341242531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1352421430989 and 1352421431007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5960935 + ... + 6183654.

It is an arithmetic number, because the mean of its divisors is an integer number (31029427450).

Almost surely, 21352421431040 is an apocalyptic number.

1352421431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352421431040 is an abundant number, since it is smaller than the sum of its proper divisors (3115816121760).

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

1352421431040 is a wasteful number, since it uses less digits than its factorization.

1352421431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12144642 (or 12144628 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1352421431040 its reverse (401341242531), we get a palindrome (1753762673571).

The spelling of 1352421431040 in words is "one trillion, three hundred fifty-two billion, four hundred twenty-one million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3480 3712 3840 4640 5568 6960 7424 9280 11136 13920 18560 22272 27840 37120 55680 111360 12144589 24289178 36433767 48578356 60722945 72867534 97156712 121445890 145735068 182168835 194313424 242891780 291470136 352193081 364337670 388626848 485783560 582940272 704386162 728675340 777253696 971567120 1056579243 1165880544 1408772324 1457350680 1554507392 1760965405 1943134240 2113158486 2331761088 2817544648 2914701360 3109014784 3521930810 3886268480 4226316972 4663522176 5282896215 5635089296 5829402720 7043861620 7772536960 8452633944 9327044352 10565792430 11270178592 11658805440 14087723240 15545073920 16905267888 21131584860 22540357184 23317610880 28175446480 33810535776 42263169720 45080714368 46635221760 56350892960 67621071552 84526339440 90161428736 112701785920 135242143104 169052678880 225403571840 270484286208 338105357760 450807143680 676210715520 1352421431040