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40136274288 = 243211246710271
BaseRepresentation
bin100101011000010011…
…101111000101110000
310211121011110222200100
4211120103233011300
51124144341234123
630234403352400
72620420462635
oct453023570560
9124534428610
1040136274288
1116026975a20
127941682700
133a28386b36
141d2a72218c
15109d954643
hex9584ef170

40136274288 has 120 divisors (see below), whose sum is σ = 122598867456. Its totient is φ = 12156393600.

The previous prime is 40136274271. The next prime is 40136274293. The reversal of 40136274288 is 88247263104.

It is a happy number.

40136274288 is a `hidden beast` number, since 4 + 0 + 1 + 362 + 7 + 4 + 288 = 666.

It is a super-2 number, since 2×401362742882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3902593 + ... + 3912863.

Almost surely, 240136274288 is an apocalyptic number.

40136274288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40136274288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61299433728).

40136274288 is an abundant number, since it is smaller than the sum of its proper divisors (82462593168).

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

40136274288 is a wasteful number, since it uses less digits than its factorization.

40136274288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763 (or 12754 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 40136274288 in words is "forty billion, one hundred thirty-six million, two hundred seventy-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2467 4934 7401 9868 10271 14802 19736 20542 22203 27137 29604 30813 39472 41084 44406 54274 59208 61626 81411 82168 88812 92439 108548 112981 118416 123252 162822 164336 177624 184878 217096 225962 244233 246504 325644 338943 355248 369756 434192 451924 488466 493008 651288 677886 739512 903848 976932 1016829 1302576 1355772 1479024 1807696 1953864 2033658 2711544 3907728 4067316 5423088 8134632 16269264 25338557 50677114 76015671 101354228 152031342 202708456 228047013 278724127 304062684 405416912 456094026 557448254 608125368 836172381 912188052 1114896508 1216250736 1672344762 1824376104 2229793016 2508517143 3344689524 3648752208 4459586032 5017034286 6689379048 10034068572 13378758096 20068137144 40136274288