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40024402789068 = 22332512131769263
BaseRepresentation
bin10010001100110111010000…
…10011111000001011001100
312020201021222110002010202000
421012123220103320023030
520221224434103222233
6221042542400432300
711300445004243245
oct1106335023701314
9166637873063660
1040024402789068
1111831287a38745
1245a4bb7618690
131944392170a19
149c5297403ccc
154961d7272d13
hex2466e84f82cc

40024402789068 has 96 divisors (see below), whose sum is σ = 104186775813120. Its totient is φ = 13287499128000.

The previous prime is 40024402789057. The next prime is 40024402789247. The reversal of 40024402789068 is 86098720442004.

40024402789068 is a `hidden beast` number, since 4 + 0 + 0 + 24 + 402 + 78 + 90 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577826605 + ... + 577895867.

It is an arithmetic number, because the mean of its divisors is an integer number (1085278914720).

Almost surely, 240024402789068 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 40024402789068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52093387906560).

40024402789068 is an abundant number, since it is smaller than the sum of its proper divisors (64162373024052).

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

40024402789068 is a wasteful number, since it uses less digits than its factorization.

40024402789068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90844 (or 90836 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 40024402789068 in words is "forty trillion, twenty-four billion, four hundred two million, seven hundred eighty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 502 753 1004 1506 2259 3012 4518 6777 9036 13554 21317 27108 42634 63951 69263 85268 127902 138526 191853 207789 255804 277052 383706 415578 575559 623367 767412 831156 1151118 1246734 1870101 2302236 2493468 3740202 5350567 7480404 10701134 16051701 17385013 21402268 32103402 34770026 48155103 52155039 64206804 69540052 96310206 104310078 144465309 156465117 192620412 208620156 288930618 312930234 469395351 577861236 625860468 938790702 1476479371 1877581404 2952958742 4429438113 5905917484 8858876226 13288314339 17717752452 26576628678 39864943017 53153257356 79729886034 159459772068 370596322121 741192644242 1111788966363 1482385288484 2223577932726 3335366899089 4447155865452 6670733798178 10006100697267 13341467596356 20012201394534 40024402789068