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40380616532096 = 272119291609403
BaseRepresentation
bin10010010111001110110000…
…10011011110000010000000
312021222100102121002012002122
421023213120103132002000
520243044000313011341
6221514333225303412
711335255215143351
oct1113473023360200
9167870377065078
1040380616532096
1111959361348105
12464204a934b68
13196bb50194869
149d860a203d28
154a05d4a8094b
hex24b9d84de080

40380616532096 has 64 divisors (see below), whose sum is σ = 80914073623200. Its totient is φ = 20072976752640.

The previous prime is 40380616532057. The next prime is 40380616532129. The reversal of 40380616532096 is 69023561608304.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24285731 + ... + 25895133.

Almost surely, 240380616532096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40380616532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40457036811600).

40380616532096 is an abundant number, since it is smaller than the sum of its proper divisors (40533457091104).

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

40380616532096 is a wasteful number, since it uses less digits than its factorization.

40380616532096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610557 (or 1610545 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 53.

The spelling of 40380616532096 in words is "forty trillion, three hundred eighty billion, six hundred sixteen million, five hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 211 422 844 929 1688 1858 3376 3716 6752 7432 13504 14864 27008 29728 59456 118912 196019 392038 784076 1568152 1609403 3136304 3218806 6272608 6437612 12545216 12875224 25090432 25750448 51500896 103001792 206003584 339584033 679168066 1358336132 1495135387 2716672264 2990270774 5433344528 5980541548 10866689056 11961083096 21733378112 23922166192 43466756224 47844332384 95688664768 191377329536 315473566657 630947133314 1261894266628 2523788533256 5047577066512 10095154133024 20190308266048 40380616532096