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400334000031 = 32731478742821
BaseRepresentation
bin1011101001101011100…
…01000000111110011111
31102021022222001022220100
411310311301000332133
523024341001000111
6503524430552143
740631435566020
oct5646561007637
91367288038810
10400334000031
11144865119589
1265707068653
132b99c8b19b4
141553a6a6c47
15a630dc1756
hex5d35c40f9f

400334000031 has 48 divisors (see below), whose sum is σ = 682345617408. Its totient is φ = 221331441600.

The previous prime is 400334000009. The next prime is 400334000069. The reversal of 400334000031 is 130000433004.

It is not a de Polignac number, because 400334000031 - 219 = 400333475743 is a prime.

It is a super-2 number, since 2×4003340000312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400333999968 and 400334000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400334000531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9327601 + ... + 9370421.

It is an arithmetic number, because the mean of its divisors is an integer number (14215533696).

Almost surely, 2400334000031 is an apocalyptic number.

400334000031 is a deficient number, since it is larger than the sum of its proper divisors (282011617377).

400334000031 is a wasteful number, since it uses less digits than its factorization.

400334000031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47652 (or 47649 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 400334000031 its reverse (130000433004), we get a palindrome (530334433035).

The spelling of 400334000031 in words is "four hundred billion, three hundred thirty-four million, thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 4787 14361 33509 42821 43083 100527 128463 148397 299747 301581 385389 445191 899241 1038779 1327451 1335573 2697723 3116337 3982353 9292157 9349011 11947059 27876471 83629413 204984127 614952381 1434888889 1844857143 4304666667 6354507937 12914000001 19063523811 44481555559 57190571433 133444666677 400334000031