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10400131042443 = 332321126164661
BaseRepresentation
bin1001011101010111100000…
…0111011100110010001011
31100211020120000101021021000
42113111320013130302023
52330343432021324233
634041430525550043
72122245641160252
oct227257007346213
940736500337230
1010400131042443
11334a74192a55a
1211bb746a15323
135a596098896c
1427d524883799
151307e80c3d13
hex975781dcc8b

10400131042443 has 48 divisors (see below), whose sum is σ = 16108302581280. Its totient is φ = 6631276132800.

The previous prime is 10400131042417. The next prime is 10400131042487. The reversal of 10400131042443 is 34424013100401.

10400131042443 is a `hidden beast` number, since 1 + 0 + 400 + 1 + 3 + 10 + 4 + 244 + 3 = 666.

It is not a de Polignac number, because 10400131042443 - 29 = 10400131041931 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10400131042493) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 160808533 + ... + 160873193.

It is an arithmetic number, because the mean of its divisors is an integer number (335589637110).

Almost surely, 210400131042443 is an apocalyptic number.

10400131042443 is a deficient number, since it is larger than the sum of its proper divisors (5708171538837).

10400131042443 is a wasteful number, since it uses less digits than its factorization.

10400131042443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75977 (or 75948 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10400131042443 its reverse (34424013100401), we get a palindrome (44824144142844).

The spelling of 10400131042443 in words is "ten trillion, four hundred billion, one hundred thirty-one million, forty-two thousand, four hundred forty-three".

Divisors: 1 3 9 23 27 69 207 529 621 1587 4761 11261 14283 33783 64661 101349 193983 259003 304047 581949 777009 1487203 1745847 2331027 4461609 5957069 6993081 13384827 17871207 34205669 40154481 53613621 102617007 160840863 307851021 728147521 923553063 2184442563 6553327689 16747392983 19659983067 50242178949 150726536847 385190038609 452179610541 1155570115827 3466710347481 10400131042443