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40078614688 = 2572193132437
BaseRepresentation
bin100101010100110111…
…110010000010100000
310211110010222120120121
4211110313302002200
51124040111132223
630224543450024
72616120414100
oct452467620240
9124403876517
1040078614688
1115aa7373462
1279262b6914
133a19449228
141d22bd3200
15109886515d
hex954df20a0

40078614688 has 72 divisors (see below), whose sum is σ = 92263462452. Its totient is φ = 17087422464.

The previous prime is 40078614679. The next prime is 40078614691. The reversal of 40078614688 is 88641687004.

It can be written as a sum of positive squares in 2 ways, for example, as 39399074064 + 679540624 = 198492^2 + 26068^2 .

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, 236406 + ... + 368842.

Almost surely, 240078614688 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 40078614688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46131731226).

40078614688 is an abundant number, since it is smaller than the sum of its proper divisors (52184847764).

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

40078614688 is a wasteful number, since it uses less digits than its factorization.

40078614688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132654 (or 132639 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The spelling of 40078614688 in words is "forty billion, seventy-eight million, six hundred fourteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 193 196 224 386 392 772 784 1351 1544 1568 2702 3088 5404 6176 9457 10808 18914 21616 37828 43232 75656 132437 151312 264874 302624 529748 927059 1059496 1854118 2118992 3708236 4237984 6489413 7416472 12978826 14832944 25560341 25957652 29665888 51120682 51915304 102241364 103830608 178922387 204482728 207661216 357844774 408965456 715689548 817930912 1252456709 1431379096 2504913418 2862758192 5009826836 5725516384 10019653672 20039307344 40078614688