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12143152224 = 2532717354317
BaseRepresentation
bin10110100111100100…
…11100110001100000
31011100021111001021200
423103302130301200
5144332121332344
65324541521200
7606630043110
oct132362346140
934307431250
1012143152224
115171546aa5
12242a873200
1311b6a06898
14832a43040
154b10eb069
hex2d3c9cc60

12143152224 has 144 divisors (see below), whose sum is σ = 41786847648. Its totient is φ = 3265376256.

The previous prime is 12143152213. The next prime is 12143152249. The reversal of 12143152224 is 42225134121.

12143152224 is a `hidden beast` number, since 1 + 2 + 1 + 431 + 5 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×121431522242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142887 + ... + 211430.

It is an arithmetic number, because the mean of its divisors is an integer number (290186442).

Almost surely, 212143152224 is an apocalyptic number.

12143152224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12143152224 is an abundant number, since it is smaller than the sum of its proper divisors (29643695424).

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

12143152224 is a wasteful number, since it uses less digits than its factorization.

12143152224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354357 (or 354346 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 12143152224 its reverse (42225134121), we get a palindrome (54368286345).

The spelling of 12143152224 in words is "twelve billion, one hundred forty-three million, one hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 354317 708634 1062951 1417268 2125902 2480219 2834536 3188853 4251804 4960438 5669072 6023389 6377706 7440657 8503608 9920876 11338144 12046778 12755412 14881314 17007216 18070167 19841752 22321971 24093556 25510824 29762628 34014432 36140334 39683504 42163723 44643942 48187112 51021648 54210501 59525256 72280668 79367008 84327446 89287884 96374224 102043296 108421002 119050512 126491169 144561336 168654892 178575768 192748448 216842004 238101024 252982338 289122672 337309784 357151536 379473507 433684008 505964676 578245344 674619568 714303072 758947014 867368016 1011929352 1349239136 1517894028 1734736032 2023858704 3035788056 4047717408 6071576112 12143152224