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40291632504 = 23324137936013
BaseRepresentation
bin100101100001100100…
…011000010101111000
310211222222211000002100
4211201210120111320
51130004124220004
630302033303400
72624315140224
oct454144302570
9124888730070
1040291632504
11160a6637942
127985704b60
133a51610886
141d43203784
1510ac3e1739
hex961918578

40291632504 has 96 divisors (see below), whose sum is σ = 112082770800. Its totient is φ = 13068034560.

The previous prime is 40291632481. The next prime is 40291632529. The reversal of 40291632504 is 40523619204.

It is a happy number.

40291632504 is a `hidden beast` number, since 4 + 0 + 2 + 91 + 63 + 2 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1100802 + ... + 1136814.

Almost surely, 240291632504 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 40291632504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56041385400).

40291632504 is an abundant number, since it is smaller than the sum of its proper divisors (71791138296).

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

40291632504 is a wasteful number, since it uses less digits than its factorization.

40291632504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36445 (or 36438 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40291632504 in words is "forty billion, two hundred ninety-one million, six hundred thirty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 379 492 738 758 984 1137 1476 1516 2274 2952 3032 3411 4548 6822 9096 13644 15539 27288 31078 36013 46617 62156 72026 93234 108039 124312 139851 144052 186468 216078 279702 288104 324117 372936 432156 559404 648234 864312 1118808 1296468 1476533 2592936 2953066 4429599 5906132 8859198 11812264 13288797 13648927 17718396 26577594 27297854 35436792 40946781 53155188 54595708 81893562 106310376 109191416 122840343 163787124 245680686 327574248 491361372 559606007 982722744 1119212014 1678818021 2238424028 3357636042 4476848056 5036454063 6715272084 10072908126 13430544168 20145816252 40291632504