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331143334133440 = 2655319524960739
BaseRepresentation
bin100101101001011000101000…
…0110011001111111011000000
31121102110222211022112011211011
41023102301100303033323000
5321400423022014232230
63132141051513530304
7126515213343022303
oct11322612063177300
91542428738464734
10331143334133440
1196570110258394
1231181968713994
13112a08b43753ba
145bab5cc59ab3a
152843be8666e2a
hex12d2c50ccfec0

331143334133440 has 56 divisors (see below), whose sum is σ = 803413084529520. Its totient is φ = 129958138672128.

The previous prime is 331143334133413. The next prime is 331143334133473. The reversal of 331143334133440 is 44331433341133.

It is a happy number.

It is a super-2 number, since 2×3311433341334402 (a number of 30 digits) contains 22 as substring.

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 = 331143334133393 and 331143334133402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9762463410 + ... + 9762497329.

Almost surely, 2331143334133440 is an apocalyptic number.

It is an amenable number.

331143334133440 is an abundant number, since it is smaller than the sum of its proper divisors (472269750396080).

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

331143334133440 is a wasteful number, since it uses less digits than its factorization.

331143334133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19524960809 (or 19524960799 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 40.

Adding to 331143334133440 its reverse (44331433341133), we get a palindrome (375474767474573).

The spelling of 331143334133440 in words is "three hundred thirty-one trillion, one hundred forty-three billion, three hundred thirty-four million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 8480 16960 19524960739 39049921478 78099842956 97624803695 156199685912 195249607390 312399371824 390499214780 624798743648 780998429560 1034822919167 1249597487296 1561996859120 2069645838334 3123993718240 4139291676668 5174114595835 6247987436480 8278583353336 10348229191670 16557166706672 20696458383340 33114333413344 41392916766680 66228666826688 82785833533360 165571667066720 331143334133440