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13234441590 = 23251071399887
BaseRepresentation
bin11000101001101010…
…11000110101110110
31021011022221021212100
430110311120311312
5204101004112330
610025124002530
7645650616546
oct142465306566
937138837770
1013234441590
115681551937
122694230446
13132bb27836
148d7955326
15526d11060
hex314d58d76

13234441590 has 96 divisors (see below), whose sum is σ = 34984535040. Its totient is φ = 3470697792.

The previous prime is 13234441589. The next prime is 13234441631. The reversal of 13234441590 is 9514443231.

13234441590 is a `hidden beast` number, since 1 + 3 + 23 + 4 + 4 + 41 + 590 = 666.

It is a congruent number.

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, 1333627 + ... + 1343513.

It is an arithmetic number, because the mean of its divisors is an integer number (364422240).

Almost surely, 213234441590 is an apocalyptic number.

13234441590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13234441590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17492267520).

13234441590 is an abundant number, since it is smaller than the sum of its proper divisors (21750093450).

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

13234441590 is a wasteful number, since it uses less digits than its factorization.

13234441590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10143 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13234441590 in words is "thirteen billion, two hundred thirty-four million, four hundred forty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 139 214 278 321 417 535 642 695 834 963 1070 1251 1390 1605 1926 2085 2502 3210 4170 4815 6255 9630 9887 12510 14873 19774 29661 29746 44619 49435 59322 74365 88983 89238 98870 133857 148305 148730 177966 223095 267714 296610 444915 446190 669285 889830 1057909 1338570 1374293 2115818 2748586 3173727 4122879 5289545 6347454 6871465 8245758 9521181 10579090 12368637 13742930 15868635 19042362 20614395 24737274 31737270 41228790 47605905 61843185 95211810 123686370 147049351 294098702 441148053 735246755 882296106 1323444159 1470493510 2205740265 2646888318 4411480530 6617220795 13234441590