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40747431535632 = 24324161113142053
BaseRepresentation
bin10010100001111010000000…
…01011101010010000010000
312100021102020120020001221100
421100331000023222100100
520320101214433120012
6222355040040024400
711403622224214503
oct1120750013522020
9170242216201840
1040747431535632
1111a8a985900498
1246a1160462100
13199760a623403
14a0c286d5b13a
154a9e02e178dc
hex250f402ea410

40747431535632 has 120 divisors (see below), whose sum is σ = 118732629172248. Its totient is φ = 13033964390400.

The previous prime is 40747431535631. The next prime is 40747431535639. The reversal of 40747431535632 is 23653513474704.

40747431535632 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 7 + 43 + 1 + 535 + 63 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2393557776 + 40745037977856 = 48924^2 + 6383184^2 .

It is not an unprimeable number, because it can be changed into a prime (40747431535631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56210883 + ... + 56931170.

Almost surely, 240747431535632 is an apocalyptic number.

It is an amenable number.

40747431535632 is an abundant number, since it is smaller than the sum of its proper divisors (77985197636616).

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

40747431535632 is a wasteful number, since it uses less digits than its factorization.

40747431535632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113142169 (or 113142160 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 40747431535632 in words is "forty trillion, seven hundred forty-seven billion, four hundred thirty-one million, five hundred thirty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 61 72 82 122 123 144 164 183 244 246 328 366 369 488 492 549 656 732 738 976 984 1098 1464 1476 1968 2196 2501 2928 2952 4392 5002 5904 7503 8784 10004 15006 20008 22509 30012 40016 45018 60024 90036 120048 180072 360144 113142053 226284106 339426159 452568212 678852318 905136424 1018278477 1357704636 1810272848 2036556954 2715409272 4073113908 4638824173 5430818544 6901665233 8146227816 9277648346 13803330466 13916472519 16292455632 18555296692 20704995699 27606660932 27832945038 37110593384 41409991398 41749417557 55213321864 55665890076 62114987097 74221186768 82819982796 83498835114 110426643728 111331780152 124229974194 165639965592 166997670228 222663560304 248459948388 282968274553 331279931184 333995340456 496919896776 565936549106 667990680912 848904823659 993839793552 1131873098212 1697809647318 2263746196424 2546714470977 3395619294636 4527492392848 5093428941954 6791238589272 10186857883908 13582477178544 20373715767816 40747431535632