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253134311436 = 22344143443153
BaseRepresentation
bin1110101110111111111…
…0110001000000001100
3220012101100212101010000
43223233332301000030
513121404340431221
6312142134444300
724200622100656
oct3535776610014
9805340771100
10253134311436
11983987a0886
1241086203690
131ab4153b446
14c374bbb6d6
1568b808de26
hex3aeffb100c

253134311436 has 120 divisors (see below), whose sum is σ = 693649457424. Its totient is φ = 80405498880.

The previous prime is 253134311413. The next prime is 253134311447. The reversal of 253134311436 is 634113431352.

253134311436 is a `hidden beast` number, since 2 + 531 + 3 + 4 + 3 + 114 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253134311436.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 349636 + ... + 792788.

Almost surely, 2253134311436 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 253134311436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346824728712).

253134311436 is an abundant number, since it is smaller than the sum of its proper divisors (440515145988).

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

253134311436 is a wasteful number, since it uses less digits than its factorization.

253134311436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443253 (or 443242 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 253134311436 its reverse (634113431352), we get a palindrome (887247742788).

The spelling of 253134311436 in words is "two hundred fifty-three billion, one hundred thirty-four million, three hundred eleven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 43 54 81 82 86 108 123 129 162 164 172 246 258 324 369 387 492 516 738 774 1107 1161 1476 1548 1763 2214 2322 3321 3483 3526 4428 4644 5289 6642 6966 7052 10578 13284 13932 15867 21156 31734 47601 63468 95202 142803 190404 285606 443153 571212 886306 1329459 1772612 2658918 3988377 5317836 7976754 11965131 15953508 18169273 19055579 23930262 35895393 36338546 38111158 47860524 54507819 57166737 71790786 72677092 76222316 109015638 114333474 143581572 163523457 171500211 218031276 228666948 327046914 343000422 490570371 514500633 654093828 686000844 781278739 981140742 1029001266 1471711113 1543501899 1562557478 1962281484 2058002532 2343836217 2943422226 3087003798 3125114956 4687672434 5886844452 6174007596 7031508651 9375344868 14063017302 21094525953 28126034604 42189051906 63283577859 84378103812 126567155718 253134311436