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40367152542656 = 267972431102307
BaseRepresentation
bin10010010110110101101011…
…10010011011001111000000
312021221001200021012122210002
421023122311302123033000
520242333412022331111
6221504225221255132
711334300446133002
oct1113326562331700
9167831607178702
1040367152542656
1111953682271605
12463b5118644a8
13196a7b59387c4
149d7acddb8372
154a0097a2a63b
hex24b6b5c9b3c0

40367152542656 has 56 divisors (see below), whose sum is σ = 81128810584320. Its totient is φ = 19925318529792.

The previous prime is 40367152542593. The next prime is 40367152542701. The reversal of 40367152542656 is 65624525176304.

40367152542656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36069455 + ... + 37171761.

Almost surely, 240367152542656 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 40367152542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40564405292160).

40367152542656 is an abundant number, since it is smaller than the sum of its proper divisors (40761658041664).

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

40367152542656 is a wasteful number, since it uses less digits than its factorization.

40367152542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109641 (or 1109631 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 56.

The spelling of 40367152542656 in words is "forty trillion, three hundred sixty-seven billion, one hundred fifty-two million, five hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2528 5056 7243 14486 28972 57944 115888 231776 463552 572197 1102307 1144394 2204614 2288788 4409228 4577576 8818456 9155152 17636912 18310304 35273824 36620608 70547648 87082253 174164506 348329012 696658024 1393316048 2786632096 5573264192 7984009601 15968019202 31936038404 63872076808 127744153616 255488307232 510976614464 630736758479 1261473516958 2522947033916 5045894067832 10091788135664 20183576271328 40367152542656