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40040615116440 = 23325823113512809
BaseRepresentation
bin10010001101010101011101…
…01000111111111010011000
312020202211211022102200221100
421012222232220333322120
520222011134432211230
6221054223223111400
711301560524612641
oct1106525650777230
9166684738380840
1040040615116440
1111838147416204
1245a8180ba2560
131945a76c09243
149c5d946466c8
1549683570a660
hex246aaea3fe98

40040615116440 has 96 divisors (see below), whose sum is σ = 130147818746400. Its totient is φ = 10676199344640.

The previous prime is 40040615116379. The next prime is 40040615116477. The reversal of 40040615116440 is 4461151604004.

40040615116440 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 0 + 6 + 1 + 5 + 1 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40040615116395 and 40040615116404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3793245 + ... + 9719564.

It is an arithmetic number, because the mean of its divisors is an integer number (1355706445275).

Almost surely, 240040615116440 is an apocalyptic number.

40040615116440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40040615116440 is an abundant number, since it is smaller than the sum of its proper divisors (90107203629960).

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

40040615116440 is a wasteful number, since it uses less digits than its factorization.

40040615116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13521057 (or 13521050 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 40040615116440 in words is "forty trillion, forty billion, six hundred fifteen million, one hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 8231 16462 24693 32924 41155 49386 65848 74079 82310 98772 123465 148158 164620 197544 246930 296316 329240 370395 493860 592632 740790 987720 1481580 2963160 13512809 27025618 40538427 54051236 67564045 81076854 108102472 121615281 135128090 162153708 202692135 243230562 270256180 324307416 405384270 486461124 540512360 608076405 810768540 972922248 1216152810 1621537080 2432305620 4864611240 111223930879 222447861758 333671792637 444895723516 556119654395 667343585274 889791447032 1001015377911 1112239308790 1334687170548 1668358963185 2002030755822 2224478617580 2669374341096 3336717926370 4004061511644 4448957235160 5005076889555 6673435852740 8008123023288 10010153779110 13346871705480 20020307558220 40040615116440