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12944539013904 = 243253256572
BaseRepresentation
bin1011110001011110001010…
…1001100101001100010000
31200211111010011212112001100
42330113202221211030100
53144040403441421104
643310350015104400
72504132513114361
oct274274251451420
950744104775040
1012944539013904
11414082589aaa3
1215508a3b12100
1372b884714794
1432a73a315b68
15176ab567c139
hexbc5e2a65310

12944539013904 has 135 divisors (see below), whose sum is σ = 36929678736223. Its totient is φ = 4232685789696.

The previous prime is 12944539013899. The next prime is 12944539013911. The reversal of 12944539013904 is 40931093544921.

The square root of 12944539013904 is 3597852.

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

12944539013904 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 4 + 539 + 0 + 13 + 90 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 705176703504 + 12239362310400 = 839748^2 + 3498480^2 .

It is a super-2 number, since 2×129445390139042 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

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, 2288231044 + ... + 2288236700.

Almost surely, 212944539013904 is an apocalyptic number.

12944539013904 is the 3597852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12944539013904

12944539013904 is an abundant number, since it is smaller than the sum of its proper divisors (23985139722319).

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

12944539013904 is an frugal number, since it uses more digits than its factorization.

12944539013904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11434 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 12944539013904 in words is "twelve trillion, nine hundred forty-four billion, five hundred thirty-nine million, thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 2809 3816 5618 5657 7632 8427 11236 11314 16854 16971 22472 22628 25281 33708 33942 44944 45256 50562 50913 67416 67884 90512 101124 101826 134832 135768 202248 203652 271536 299821 404496 407304 599642 814608 899463 1199284 1798926 2398568 2698389 3597852 4797136 5396778 7195704 10793556 14391408 15890513 21587112 31781026 32001649 43174224 47671539 63562052 64003298 95343078 96004947 127124104 128006596 143014617 190686156 192009894 254248208 256013192 286029234 288014841 381372312 384019788 512026384 572058468 576029682 762744624 768039576 1144116936 1152059364 1536079152 1696087397 2288233872 2304118728 3392174794 4608237456 5088262191 6784349588 10176524382 13568699176 15264786573 20353048764 27137398352 30529573146 40706097528 61059146292 81412195056 89892632041 122118292584 179785264082 244236585168 269677896123 359570528164 539355792246 719141056328 809033688369 1078711584492 1438282112656 1618067376738 2157423168984 3236134753476 4314846337968 6472269506952 12944539013904