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11431144452 = 22371323592243
BaseRepresentation
bin10101010010101100…
…10110110000000100
31002111122201022020110
422221112112300010
5141402333110302
65130145033020
7553163060520
oct125126266004
932448638213
1011431144452
114936646022
122270325770
131102351b00
147a6260d80
1546d855b6c
hex2a9596c04

11431144452 has 144 divisors (see below), whose sum is σ = 33114977280. Its totient is φ = 3005069184.

The previous prime is 11431144451. The next prime is 11431144493. The reversal of 11431144452 is 25444113411.

It is not an unprimeable number, because it can be changed into a prime (11431144451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5095243 + ... + 5097485.

It is an arithmetic number, because the mean of its divisors is an integer number (229965120).

Almost surely, 211431144452 is an apocalyptic number.

11431144452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11431144452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557488640).

11431144452 is an abundant number, since it is smaller than the sum of its proper divisors (21683832828).

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

11431144452 is a wasteful number, since it uses less digits than its factorization.

11431144452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2627 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 11431144452 its reverse (25444113411), we get a palindrome (36875257863).

The spelling of 11431144452 in words is "eleven billion, four hundred thirty-one million, one hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 169 182 273 338 359 364 507 546 676 718 1014 1077 1092 1183 1436 2028 2154 2243 2366 2513 3549 4308 4486 4667 4732 5026 6729 7098 7539 8972 9334 10052 13458 14001 14196 15078 15701 18668 26916 28002 29159 30156 31402 32669 47103 56004 58318 60671 62804 65338 87477 94206 98007 116636 121342 130676 174954 182013 188412 196014 204113 242684 349908 364026 379067 392028 408226 424697 612339 728052 758134 805237 816452 849394 1137201 1224678 1274091 1516268 1610474 1698788 2274402 2415711 2449356 2548182 2653469 3220948 4548804 4831422 5096364 5306938 5636659 7960407 9662844 10468081 10613876 11273318 15920814 16909977 20936162 22546636 31404243 31841628 33819954 41872324 62808486 67639908 73276567 125616972 136085053 146553134 219829701 272170106 293106268 408255159 439659402 544340212 816510318 879318804 952595371 1633020636 1905190742 2857786113 3810381484 5715572226 11431144452