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5044569904144 = 243125923072
BaseRepresentation
bin100100101101000011111…
…0011000001010000010000
3122212020220202020211212201
41021122013303001100100
51130122234343413034
614421235440132544
71030313100460501
oct111320763012020
918766822224781
105044569904144
111675432221191
12695808307154
132a7915b57304
14136230c58ba8
158b34a504014
hex49687cc1410

5044569904144 has 135 divisors (see below), whose sum is σ = 10306959131871. Its totient is φ = 2391733258560.

The previous prime is 5044569904123. The next prime is 5044569904277. The reversal of 5044569904144 is 4414099654405.

It is a happy number.

The square root of 5044569904144 is 2246012.

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

It is a super-3 number, since 3×50445699041443 (a number of 39 digits) contains 333 as substring.

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, 16431823639 + ... + 16431823945.

Almost surely, 25044569904144 is an apocalyptic number.

5044569904144 is the 2246012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5044569904144

5044569904144 is an abundant number, since it is smaller than the sum of its proper divisors (5262389227727).

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

5044569904144 is an frugal number, since it uses more digits than its factorization.

5044569904144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 5044569904144 in words is "five trillion, forty-four billion, five hundred sixty-nine million, nine hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 307 472 496 614 944 961 1228 1829 1922 2456 3481 3658 3844 4912 6962 7316 7688 9517 13924 14632 15376 18113 19034 27848 29264 36226 38068 55696 56699 72452 76136 94249 107911 113398 144904 152272 188498 215822 226796 289808 295027 376996 431644 453592 561503 590054 753992 863288 907184 1068667 1123006 1180108 1507984 1726576 2137334 2246012 2360216 2921719 3345241 4274668 4492024 4720432 5560691 5843438 6690482 8549336 8984048 11121382 11686876 13380964 17098672 17406593 22242764 23373752 26761928 33128677 34813186 44485528 46747504 53523856 66257354 69626372 88971056 90573289 132514708 139252744 172381421 181146578 265029416 278505488 328080769 344762842 362293156 530058832 656161538 689525684 724586312 1026988987 1312323076 1379051368 1449172624 2053977974 2624646152 2758102736 4107955948 5249292304 5343824051 8215911896 10170503839 10687648102 16431823792 20341007678 21375296204 40682015356 42750592408 81364030712 85501184816 162728061424 315285619009 630571238018 1261142476036 2522284952072 5044569904144