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42440419216 = 24131741833527
BaseRepresentation
bin100111100001101001…
…010110011110010000
311001112202010200022101
4213201221112132100
51143404221403331
631255153250144
73031466416426
oct474151263620
9131482120271
1042440419216
1116aa9568128
128285263954
1340048507c0
1420a874d116
151185d94061
hex9e1a56790

42440419216 has 160 divisors (see below), whose sum is σ = 97234276608. Its totient is φ = 17764270080.

The previous prime is 42440419181. The next prime is 42440419247. The reversal of 42440419216 is 61291404424.

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 31 ways as a sum of consecutive naturals, for example, 12031245 + ... + 12034771.

Almost surely, 242440419216 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 42440419216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48617138304).

42440419216 is an abundant number, since it is smaller than the sum of its proper divisors (54793857392).

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

42440419216 is a wasteful number, since it uses less digits than its factorization.

42440419216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 42440419216 in words is "forty-two billion, four hundred forty million, four hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 34 41 52 68 82 83 104 136 164 166 208 221 272 328 332 442 533 656 664 697 884 1066 1079 1328 1394 1411 1768 2132 2158 2788 2822 3403 3527 3536 4264 4316 5576 5644 6806 7054 8528 8632 9061 11152 11288 13612 14108 17264 18122 18343 22576 27224 28216 36244 36686 44239 45851 54448 56432 57851 59959 72488 73372 88478 91702 115702 119918 144607 144976 146744 176956 183404 231404 239836 289214 292741 293488 353912 366808 462808 479672 578428 585482 707824 733616 752063 779467 925616 959344 1156856 1170964 1504126 1558934 1879891 2313712 2341928 2458319 3008252 3117868 3759782 3805633 4683856 4916638 4976597 6016504 6235736 7519564 7611266 9833276 9953194 12002381 12033008 12471472 15039128 15222532 19666552 19906388 24004762 30078256 30445064 31958147 39333104 39812776 48009524 60890128 63916294 64695761 79625552 96019048 127832588 129391522 156030953 192038096 204040477 255665176 258783044 312061906 408080954 511330352 517566088 624123812 816161908 1035132176 1248247624 1632323816 2496495248 2652526201 3264647632 5305052402 10610104804 21220209608 42440419216