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40108152433824 = 2532139264418173
BaseRepresentation
bin10010001111010011010000…
…01011011010110010100000
312021000022011002210220100200
421013221220023122302200
520224112444010340244
6221145233022145200
711306501256416616
oct1107515013326240
9167008132726320
1040108152433824
1111863854482392
1245b928b122200
13194c24b08bc37
149c93601636b6
15498489a12669
hex247a682daca0

40108152433824 has 36 divisors (see below), whose sum is σ = 114057558484506. Its totient is φ = 13369384144512.

The previous prime is 40108152433819. The next prime is 40108152433901. The reversal of 40108152433824 is 42833425180104.

40108152433824 is a `hidden beast` number, since 4 + 0 + 10 + 8 + 1 + 524 + 33 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37776020288400 + 2332132145424 = 6146220^2 + 1527132^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40108152433824.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69632208799 + ... + 69632209374.

Almost surely, 240108152433824 is an apocalyptic number.

It is an amenable number.

40108152433824 is an abundant number, since it is smaller than the sum of its proper divisors (73949406050682).

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

40108152433824 is a wasteful number, since it uses less digits than its factorization.

40108152433824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139264418189 (or 139264418178 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 40108152433824 in words is "forty trillion, one hundred eight billion, one hundred fifty-two million, four hundred thirty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 139264418173 278528836346 417793254519 557057672692 835586509038 1114115345384 1253379763557 1671173018076 2228230690768 2506759527114 3342346036152 4456461381536 5013519054228 6684692072304 10027038108456 13369384144608 20054076216912 40108152433824