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40345542016 = 271337365003
BaseRepresentation
bin100101100100110010…
…000001110110000000
310212010202020220000221
4211210302001312000
51130111424321031
630311240552424
72625541306633
oct454462016600
9125122226027
1040345542016
111612400895a
12799b782714
133a5c8375b0
141d4a437c1a
1510b1edea11
hex964c81d80

40345542016 has 64 divisors (see below), whose sum is σ = 86792040720. Its totient is φ = 18570811392.

The previous prime is 40345541981. The next prime is 40345542067. The reversal of 40345542016 is 61024554304.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588171 + ... + 653173.

Almost surely, 240345542016 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 40345542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43396020360).

40345542016 is an abundant number, since it is smaller than the sum of its proper divisors (46446498704).

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

40345542016 is a wasteful number, since it uses less digits than its factorization.

40345542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65403 (or 65391 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 40345542016 in words is "forty billion, three hundred forty-five million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 373 416 746 832 1492 1664 2984 4849 5968 9698 11936 19396 23872 38792 47744 65003 77584 130006 155168 260012 310336 520024 620672 845039 1040048 1690078 2080096 3380156 4160192 6760312 8320384 13520624 24246119 27041248 48492238 54082496 96984476 108164992 193968952 315199547 387937904 630399094 775875808 1260798188 1551751616 2521596376 3103503232 5043192752 10086385504 20172771008 40345542016