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400404040407 = 32723964341357
BaseRepresentation
bin1011101001110011111…
…00001100101011010111
31102021111211211202020100
411310321330030223113
523030011413243112
6503535412105143
740633246121250
oct5647174145327
91367454752210
10400404040407
111448a0707998
12657266051b3
132b9b12659c7
1415545ad9b27
15a6371092dc
hex5d39f0cad7

400404040407 has 48 divisors (see below), whose sum is σ = 664798417920. Its totient is φ = 227485129536.

The previous prime is 400404040403. The next prime is 400404040423. The reversal of 400404040407 is 704040404004.

It is a happy number.

It is not a de Polignac number, because 400404040407 - 22 = 400404040403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400404040403) 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, 9660973 + ... + 9702329.

It is an arithmetic number, because the mean of its divisors is an integer number (13849967040).

Almost surely, 2400404040407 is an apocalyptic number.

400404040407 is a deficient number, since it is larger than the sum of its proper divisors (264394377513).

400404040407 is a wasteful number, since it uses less digits than its factorization.

400404040407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42252 (or 42249 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The spelling of 400404040407 in words is "four hundred billion, four hundred four million, forty thousand, four hundred seven".

Divisors: 1 3 7 9 21 63 239 643 717 1673 1929 2151 4501 5019 5787 13503 15057 40509 41357 124071 153677 289499 372213 461031 868497 1075739 1383093 2605491 3227217 9681651 9884323 26592551 29652969 69190261 79777653 88958907 186147857 207570783 239332959 558443571 622712349 1675330713 6355619689 19066859067 44489337823 57200577201 133468013469 400404040407