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42424043221128 = 23317541262173331
BaseRepresentation
bin10011010010101100111100…
…00001101011000010001000
312120012200212111220102012210
421221112132001223002020
521030033420031034003
6230121200355105120
711636015224335312
oct1151263601530210
9176180774812183
1042424043221128
1112576a32451138
1249120922a21a0
131a897546ba21a
14a694983b87b2
154d88302c0503
hex26959e06b088

42424043221128 has 128 divisors (see below), whose sum is σ = 112550974381440. Its totient is φ = 13279652352000.

The previous prime is 42424043221127. The next prime is 42424043221163. The reversal of 42424043221128 is 82112234042424.

It is not an unprimeable number, because it can be changed into a prime (42424043221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578491423 + ... + 578564753.

It is an arithmetic number, because the mean of its divisors is an integer number (879304487355).

Almost surely, 242424043221128 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 42424043221128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56275487190720).

42424043221128 is an abundant number, since it is smaller than the sum of its proper divisors (70126931160312).

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

42424043221128 is a wasteful number, since it uses less digits than its factorization.

42424043221128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76519 (or 76515 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 42424043221128 in words is "forty-two trillion, four hundred twenty-four billion, forty-three million, two hundred twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 541 1082 1623 2164 2621 3246 4328 5242 6492 7863 9197 10484 12984 15726 18394 20968 27591 31452 36788 44557 55182 62904 73331 73576 89114 110364 133671 146662 178228 219993 220728 267342 293324 356456 439986 534684 586648 879972 1069368 1246627 1417961 1759944 2493254 2835922 3739881 4253883 4986508 5671844 7479762 8507766 9973016 11343688 14959524 17015532 24105337 29919048 34031064 39672071 48210674 72316011 79344142 96421348 119016213 144632022 158688284 192200551 192842696 238032426 289264044 317376568 384401102 476064852 576601653 578528088 674425207 768802204 952129704 1153203306 1348850414 1537604408 2023275621 2306406612 2697700828 3267409367 4046551242 4612813224 5395401656 6534818734 8093102484 9802228101 13069637468 16186204968 19604456202 26139274936 39208912404 78417824808 103980498091 207960996182 311941494273 415921992364 623882988546 831843984728 1247765977092 1767668467547 2495531954184 3535336935094 5303005402641 7070673870188 10606010805282 14141347740376 21212021610564 42424043221128