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134334101252142 = 232112613100616203
BaseRepresentation
bin11110100010110100011000…
…011000101110100000101110
3122121122012210111011010002200
4132202310120120232200232
5120101412214410032032
61153412122325202330
740203214154411361
oct3642643030564056
9577565714133080
10134334101252142
113989185508a600
1213096a228603a6
1359c586115770c
142525b3b6380d8
15107e51191247c
hex7a2d1862e82e

134334101252142 has 72 divisors (see below), whose sum is σ = 320444297590872. Its totient is φ = 40640896311840.

The previous prime is 134334101252129. The next prime is 134334101252189. The reversal of 134334101252142 is 241252101433431.

134334101252142 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 410 + 1 + 25 + 214 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 134334101252097 and 134334101252106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48972988 + ... + 51643215.

Almost surely, 2134334101252142 is an apocalyptic number.

134334101252142 is an abundant number, since it is smaller than the sum of its proper divisors (186110196338730).

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

134334101252142 is a wasteful number, since it uses less digits than its factorization.

134334101252142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100616846 (or 100616832 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 134334101252142 its reverse (241252101433431), we get a palindrome (375586202685573).

The spelling of 134334101252142 in words is "one hundred thirty-four trillion, three hundred thirty-four billion, one hundred one million, two hundred fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 613 726 1089 1226 1839 2178 3678 5517 6743 11034 13486 20229 40458 60687 74173 121374 148346 222519 445038 667557 1335114 100616203 201232406 301848609 603697218 905545827 1106778233 1811091654 2213556466 3320334699 6640669398 9961004097 12174560563 19922008194 24349121126 36523681689 61677732439 73047363378 109571045067 123355464878 185033197317 219142090134 370066394634 555099591951 678455056829 1110199183902 1356910113658 2035365170487 4070730340974 6106095511461 7463005625119 12212191022922 14926011250238 22389016875357 44778033750714 67167050626071 134334101252142