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23144753956 = 22292432612
BaseRepresentation
bin10101100011100010…
…001110101100100100
32012201222221022200111
4111203202032230210
5334400024111311
614344344222404
71446356106532
oct254342165444
965658838614
1023144753956
1198a7679235
12459b16aa04
13224b0722ac
141197c0d152
15906da4d21
hex56388eb24

23144753956 has 81 divisors (see below), whose sum is σ = 43661952243. Its totient is φ = 10734575040.

The previous prime is 23144753953. The next prime is 23144753969. The reversal of 23144753956 is 65935744132.

The square root of 23144753956 is 152134.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6944555556 + 16200198400 = 83334^2 + 127280^2 .

It is a Duffinian number.

Its product of digits (2721600) is a multiple of the sum of its prime divisors (135).

It is not an unprimeable number, because it can be changed into a prime (23144753953) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 379422166 + ... + 379422226.

Almost surely, 223144753956 is an apocalyptic number.

23144753956 is the 152134-th square number.

It is an amenable number.

23144753956 is a deficient number, since it is larger than the sum of its proper divisors (20517198287).

23144753956 is an equidigital number, since it uses as much as digits as its factorization.

23144753956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 135 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 49.

Multiplying 23144753956 by its sum of digits (49), we get a square (1134092943844 = 10649382).

The spelling of 23144753956 in words is "twenty-three billion, one hundred forty-four million, seven hundred fifty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 29 43 58 61 86 116 122 172 244 841 1247 1682 1769 1849 2494 2623 3364 3538 3698 3721 4988 5246 7076 7396 7442 10492 14884 36163 51301 53621 72326 76067 102602 107242 107909 112789 144652 152134 160003 205204 214484 215818 225578 304268 320006 431636 451156 640012 1555009 2205943 3110018 3129361 3270881 4411886 4640087 6220036 6258722 6541762 6880129 8823772 9280174 12517444 13083524 13760258 18560348 27520516 94855549 134562523 189711098 199523741 269125046 379422196 399047482 538250092 798094964 5786188489 11572376978 23144753956