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40414443680 = 2551321494617
BaseRepresentation
bin100101101000111000…
…110111100010100000
310212022112220110100102
4211220320313202200
51130232044144210
630322141441532
72630336050262
oct455070674240
9125275813312
1040414443680
1116159999786
1279ba8702a8
133a70bb0200
141d55651b32
1510b809eea5
hex968e378a0

40414443680 has 72 divisors (see below), whose sum is σ = 103388705532. Its totient is φ = 14922246144.

The previous prime is 40414443637. The next prime is 40414443691. The reversal of 40414443680 is 8634441404.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7808196496 + 32606247184 = 88364^2 + 180572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720269 + ... + 774348.

Almost surely, 240414443680 is an apocalyptic number.

40414443680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40414443680 is an abundant number, since it is smaller than the sum of its proper divisors (62974261852).

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

40414443680 is a wasteful number, since it uses less digits than its factorization.

40414443680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494658 (or 1494637 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 40414443680 in words is "forty billion, four hundred fourteen million, four hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 1494617 2989234 5978468 7473085 11956936 14946170 19430021 23913872 29892340 38860042 47827744 59784680 77720084 97150105 119569360 155440168 194300210 239138720 252590273 310880336 388600420 505180546 621760672 777200840 1010361092 1262951365 1554401680 2020722184 2525902730 3108803360 4041444368 5051805460 8082888736 10103610920 20207221840 40414443680