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42288499331001 = 3371161341398017
BaseRepresentation
bin10011001110110000011101…
…11110110000111110111001
312112201202000020011101001000
421213120032332300332321
521020323321312043001
6225535022435115213
711623146302310060
oct1147301676607671
9175652006141030
1042288499331001
11125244a7460330
1248ab964a42b09
131a79a330a5641
14a62aba90d1d7
154d504a8bca86
hex26760efb0fb9

42288499331001 has 128 divisors (see below), whose sum is σ = 78264711475200. Its totient is φ = 21924180679680.

The previous prime is 42288499330997. The next prime is 42288499331003. The reversal of 42288499331001 is 10013399488224.

42288499331001 is a `hidden beast` number, since 4 + 2 + 288 + 49 + 9 + 3 + 310 + 0 + 1 = 666.

It is not a de Polignac number, because 42288499331001 - 22 = 42288499330997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42288499331003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5274849345 + ... + 5274857361.

It is an arithmetic number, because the mean of its divisors is an integer number (611443058400).

Almost surely, 242288499331001 is an apocalyptic number.

It is an amenable number.

42288499331001 is a deficient number, since it is larger than the sum of its proper divisors (35976212144199).

42288499331001 is a wasteful number, since it uses less digits than its factorization.

42288499331001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12796 (or 12790 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 42288499331001 in words is "forty-two trillion, two hundred eighty-eight billion, four hundred ninety-nine million, three hundred thirty-one thousand, one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 613 693 1839 2079 4139 4291 5517 6743 8017 12417 12873 16551 20229 24051 28973 37251 38619 45529 47201 56119 60687 72153 86919 88187 111753 115857 136587 141603 168357 182061 216459 260757 264561 318703 409761 424809 505071 617309 782271 793683 956109 1229283 1274427 1515213 1851927 2381049 2537207 2868327 4914421 5555781 7611621 8604981 14743263 16667343 17760449 22834863 27909277 33182363 34400947 44229789 53281347 54058631 68504589 83727831 99547089 103202841 132689367 159844041 162175893 195364939 232276541 251183493 298641267 309608523 365005993 378410417 479532123 486527679 586094817 696829623 753550479 895923801 928825569 1095017979 1135231251 1459583037 1758284451 2090488869 2555041951 3285053937 3405693753 5274853353 6271466607 7665125853 9855161811 10217081259 20340788519 22995377559 61022365557 68986132677 142385519633 183067096671 223748673709 427156558899 549201290013 671246021127 1281469676697 1566240715963 2013738063381 3844409030091 4698722147889 6041214190143 14096166443667 42288499331001