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44200402056 = 2334971395059
BaseRepresentation
bin101001001010100011…
…001001110010001000
311020002101212001220000
4221022203021302020
51211010300331211
632145544003000
73123220134636
oct511243116210
9136071761800
1044200402056
1117821a7a2a8
128696760460
13422536c275
1421d43aa356
15123a645656
hexa4a8c9c88

44200402056 has 160 divisors (see below), whose sum is σ = 126003108000. Its totient is φ = 14473810944.

The previous prime is 44200402049. The next prime is 44200402109. The reversal of 44200402056 is 65020400244.

44200402056 is a `hidden beast` number, since 4 + 4 + 200 + 402 + 0 + 56 = 666.

It is a super-3 number, since 3×442004020563 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8734455 + ... + 8739513.

It is an arithmetic number, because the mean of its divisors is an integer number (787519425).

Almost surely, 244200402056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44200402056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63001554000).

44200402056 is an abundant number, since it is smaller than the sum of its proper divisors (81802705944).

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

44200402056 is a wasteful number, since it uses less digits than its factorization.

44200402056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 44200402056 in words is "forty-four billion, two hundred million, four hundred two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 139 162 194 216 278 291 324 388 417 556 582 648 776 834 873 1112 1164 1251 1668 1746 2328 2502 2619 3336 3492 3753 5004 5059 5238 6984 7506 7857 10008 10118 10476 11259 13483 15012 15177 15714 20236 20952 22518 26966 30024 30354 31428 40449 40472 45036 45531 53932 60708 62856 80898 90072 91062 107864 121347 121416 136593 161796 182124 242694 273186 323592 364041 364248 409779 485388 490723 546372 703201 728082 819558 970776 981446 1092123 1092744 1406402 1456164 1472169 1639116 1962892 2109603 2184246 2812804 2912328 2944338 3278232 3925784 4219206 4368492 4416507 5625608 5888676 6328809 8438412 8736984 8833014 11777352 12657618 13249521 16876824 17666028 18986427 25315236 26499042 35332056 37972854 39748563 50630472 52998084 56959281 68210497 75945708 79497126 105996168 113918562 136420994 151891416 158994252 204631491 227837124 272841988 317988504 409262982 455674248 545683976 613894473 818525964 1227788946 1637051928 1841683419 2455577892 3683366838 4911155784 5525050257 7366733676 11050100514 14733467352 22100201028 44200402056