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4253030512146 = 23313139292714891
BaseRepresentation
bin111101111000111100010…
…111110111011000010010
3120001120211000020112012000
4331320330113313120102
51024140201302342041
613013452032014430
7616162026606213
oct75707427673022
916046730215160
104253030512146
11139a777936509
12588323391416
1324b09c992c80
14109bc241b40a
157596ed93bb6
hex3de3c5f7612

4253030512146 has 128 divisors (see below), whose sum is σ = 10255608115200. Its totient is φ = 1298679117120.

The previous prime is 4253030512117. The next prime is 4253030512187. The reversal of 4253030512146 is 6412150303524.

4253030512146 is a `hidden beast` number, since 4 + 2 + 530 + 30 + 51 + 2 + 1 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4253030512146.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285603361 + ... + 285618251.

It is an arithmetic number, because the mean of its divisors is an integer number (80121938400).

Almost surely, 24253030512146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253030512146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127804057600).

4253030512146 is an abundant number, since it is smaller than the sum of its proper divisors (6002577603054).

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

4253030512146 is a wasteful number, since it uses less digits than its factorization.

4253030512146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17981 (or 17975 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4253030512146 in words is "four trillion, two hundred fifty-three billion, thirty million, five hundred twelve thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 139 234 278 351 417 702 834 1251 1807 2502 2927 3614 3753 5421 5854 7506 8781 10842 14891 16263 17562 26343 29782 32526 38051 44673 48789 52686 76102 79029 89346 97578 114153 134019 158058 193583 228306 268038 342459 387166 402057 406853 580749 684918 804114 813706 1027377 1161498 1220559 1742247 2054754 2069849 2441118 3484494 3661677 4139698 5226741 5289089 6209547 7323354 10453482 10578178 10985031 12419094 15867267 18628641 21970062 26908037 31734534 37257282 43585957 47601801 53816074 55885923 80724111 87171914 95203602 111771846 130757871 142805403 161448222 242172333 261515742 285610806 392273613 484344666 566617441 726516999 784547226 1133234882 1176820839 1453033998 1699852323 2353641678 3399704646 5099556969 6058448023 10199113938 12116896046 15298670907 18175344069 30597341814 36350688138 54526032207 78759824299 109052064414 157519648598 163578096621 236279472897 327156193242 472558945794 708838418691 1417676837382 2126515256073 4253030512146