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143212248305424 = 2432372269532
BaseRepresentation
bin100000100100000000110011…
…001100000000111100010000
3200210001221211211010212220100
4200210000303030000330100
5122232342141031233144
61224330444300212400
742110513006260344
oct4044006314007420
9623057754125810
10143212248305424
11416a4a786a6291
121408b5b023a100
1361bab1ac9256c
14275171cc7b624
15118542c622269
hex824033300f10

143212248305424 has 135 divisors (see below), whose sum is σ = 411935745735423. Its totient is φ = 46445492399616.

The previous prime is 143212248305411. The next prime is 143212248305437. The reversal of 143212248305424 is 424503842212341.

The square root of 143212248305424 is 11967132.

It is a perfect power (a square), and thus also a powerful number.

143212248305424 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 1 + 2 + 24 + 83 + 0 + 542 + 4 = 666.

143212248305424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (143212248305411) and next prime (143212248305437).

It can be written as a sum of positive squares in 4 ways, for example, as 52049471979024 + 91162776326400 = 7214532^2 + 9547920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 143212248305424.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5313393132 + ... + 5313420084.

Almost surely, 2143212248305424 is an apocalyptic number.

143212248305424 is the 11967132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143212248305424

143212248305424 is an abundant number, since it is smaller than the sum of its proper divisors (268723497429999).

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

143212248305424 is an frugal number, since it uses more digits than its factorization.

143212248305424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53994 (or 26995 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 143212248305424 in words is "one hundred forty-three trillion, two hundred twelve billion, two hundred forty-eight million, three hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2664 2738 4107 5328 5476 8214 10952 12321 16428 21904 24642 26953 32856 49284 53906 65712 80859 98568 107812 161718 197136 215624 242577 323436 431248 485154 646872 970308 997261 1293744 1940616 1994522 2991783 3881232 3989044 5983566 7978088 8975349 11967132 15956176 17950698 23934264 35901396 36898657 47868528 71802792 73797314 110695971 143605584 147594628 221391942 295189256 332087913 442783884 590378512 664175826 726464209 885567768 1328351652 1452928418 1771135536 2179392627 2656703304 2905856836 4358785254 5313406608 5811713672 6538177881 8717570508 11623427344 13076355762 17435141016 26152711524 26879175733 34870282032 52305423048 53758351466 80637527199 104610846096 107516702932 161275054398 215033405864 241912581597 322550108796 430066811728 483825163194 645100217592 967650326388 994529502121 1290200435184 1935300652776 1989059004242 2983588506363 3870601305552 3978118008484 5967177012726 7956236016968 8950765519089 11934354025452 15912472033936 17901531038178 23868708050904 35803062076356 47737416101808 71606124152712 143212248305424