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40134358818864 = 243522945076957
BaseRepresentation
bin10010010000000100000100…
…01100110110000000110000
312021002210210110202012100000
421020002002030312000300
520230030131324200424
6221205245300030000
711311416553131552
oct1110020214660060
9167083713665300
1040134358818864
1111873982286342
124602383692300
131951866513c4b
149ca72881d4d2
15498ec05823c9
hex248082336030

40134358818864 has 120 divisors (see below), whose sum is σ = 116989130636560. Its totient is φ = 13319699574528.

The previous prime is 40134358818847. The next prime is 40134358818877. The reversal of 40134358818864 is 46881885343104.

40134358818864 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 43 + 588 + 1 + 8 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×401343588188642 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21648127 + ... + 23428830.

Almost surely, 240134358818864 is an apocalyptic number.

It is an amenable number.

40134358818864 is an abundant number, since it is smaller than the sum of its proper divisors (76854771817696).

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

40134358818864 is a wasteful number, since it uses less digits than its factorization.

40134358818864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45077209 (or 45077191 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 40134358818864 in words is "forty trillion, one hundred thirty-four billion, three hundred fifty-eight million, eight hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 229 243 324 432 458 486 648 687 916 972 1296 1374 1832 1944 2061 2748 3664 3888 4122 5496 6183 8244 10992 12366 16488 18549 24732 32976 37098 49464 55647 74196 98928 111294 148392 222588 296784 445176 890352 45076957 90153914 135230871 180307828 270461742 360615656 405692613 540923484 721231312 811385226 1081846968 1217077839 1622770452 2163693936 2434155678 3245540904 3651233517 4868311356 6491081808 7302467034 9736622712 10322623153 10953700551 14604934068 19473245424 20645246306 21907401102 29209868136 30967869459 41290492612 43814802204 58419736272 61935738918 82580985224 87629604408 92903608377 123871477836 165161970448 175259208816 185807216754 247742955672 278710825131 371614433508 495485911344 557421650262 743228867016 836132475393 1114843300524 1486457734032 1672264950786 2229686601048 2508397426179 3344529901572 4459373202096 5016794852358 6689059803144 10033589704716 13378119606288 20067179409432 40134358818864