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400314040137 = 331121031189637
BaseRepresentation
bin1011101001101001001…
…00110111111101001001
31102021021120111021002000
411310310210313331021
523024320343241022
6503522435101213
740631104124634
oct5646444677511
91367246437060
10400314040137
11144854926400
1265700441809
132b9987138cb
1415537b8cc1b
15a62e27c6ac
hex5d34937f49

400314040137 has 48 divisors (see below), whose sum is σ = 658202912640. Its totient is φ = 240258886560.

The previous prime is 400314040117. The next prime is 400314040211. The reversal of 400314040137 is 731040413004.

It is not a de Polignac number, because 400314040137 - 216 = 400313974601 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400314040137.

It is not an unprimeable number, because it can be changed into a prime (400314040117) 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, 258318 + ... + 931319.

It is an arithmetic number, because the mean of its divisors is an integer number (13712560680).

Almost surely, 2400314040137 is an apocalyptic number.

It is an amenable number.

400314040137 is a deficient number, since it is larger than the sum of its proper divisors (257888872503).

400314040137 is a wasteful number, since it uses less digits than its factorization.

400314040137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189771 (or 1189754 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 400314040137 in words is "four hundred billion, three hundred fourteen million, forty thousand, one hundred thirty-seven".

Divisors: 1 3 9 11 27 33 99 103 121 297 309 363 927 1089 1133 2781 3267 3399 10197 12463 30591 37389 112167 336501 1189637 3568911 10706733 13086007 32120199 39258021 117774063 122532611 143946077 353322189 367597833 431838231 1102793499 1295514693 1347858721 3308380497 3886544079 4043576163 12130728489 14826445931 36392185467 44479337793 133438013379 400314040137