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142246364364 = 2232131931351109
BaseRepresentation
bin1000010001111010001…
…0110100010011001100
3111121011101122000100100
42010132202310103030
54312310032124424
6145202545131100
713163666101356
oct2043642642314
9447141560310
10142246364364
1155365400a15
122369a029a90
131054c0a7c90
146c55ad80d6
153a7804adc9
hex211e8b44cc

142246364364 has 144 divisors (see below), whose sum is σ = 408916799200. Its totient is φ = 41331244032.

The previous prime is 142246364347. The next prime is 142246364371. The reversal of 142246364364 is 463463642241.

142246364364 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 4 + 636 + 4 + 3 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2757642 + ... + 2808750.

Almost surely, 2142246364364 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 142246364364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204458399600).

142246364364 is an abundant number, since it is smaller than the sum of its proper divisors (266670434836).

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

142246364364 is a wasteful number, since it uses less digits than its factorization.

142246364364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51464 (or 51459 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 142246364364 in words is "one hundred forty-two billion, two hundred forty-six million, three hundred sixty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 313 342 468 494 626 684 741 939 988 1252 1482 1878 2223 2817 2964 3756 4069 4446 5634 5947 8138 8892 11268 11894 12207 16276 17841 23788 24414 35682 36621 48828 51109 53523 71364 73242 77311 102218 107046 146484 153327 154622 204436 214092 231933 306654 309244 459981 463866 613308 664417 695799 919962 927732 971071 1328834 1391598 1839924 1942142 1993251 2657668 2783196 2913213 3884284 3986502 5826426 5979753 7973004 8739639 11652852 11959506 12623923 15997117 17479278 23919012 25247846 31994234 34958556 37871769 47991351 50495692 63988468 75743538 95982702 113615307 143974053 151487076 191965404 207962521 227230614 287948106 303945223 415925042 454461228 575896212 607890446 623887563 831850084 911835669 1215780892 1247775126 1823671338 1871662689 2495550252 2735507007 3647342676 3743325378 3951287899 5471014014 7486650756 7902575798 10942028028 11853863697 15805151596 23707727394 35561591091 47415454788 71123182182 142246364364