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4044106361124 = 22328943113012251
BaseRepresentation
bin111010110110010111100…
…001011110100100100100
3112022121112201120222220200
4322312113201132210210
51012224312212023444
612333500430230500
7565114503615204
oct72662741364444
915277481528820
104044106361124
11131a10667a595
12553937055430
1323448582c67b
14dda4302a404
15702e3226969
hex3ad9785e924

4044106361124 has 144 divisors (see below), whose sum is σ = 10374018520320. Its totient is φ = 1328184000000.

The previous prime is 4044106361107. The next prime is 4044106361129. The reversal of 4044106361124 is 4211636014404.

4044106361124 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 1 + 0 + 636 + 1 + 12 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4044106361129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1796580999 + ... + 1796583249.

It is an arithmetic number, because the mean of its divisors is an integer number (72041795280).

Almost surely, 24044106361124 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 4044106361124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187009260160).

4044106361124 is an abundant number, since it is smaller than the sum of its proper divisors (6329912159196).

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

4044106361124 is a wasteful number, since it uses less digits than its factorization.

4044106361124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4044106361124 in words is "four trillion, forty-four billion, one hundred six million, three hundred sixty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 431 534 801 862 1068 1293 1301 1602 1724 2251 2586 2602 3204 3879 3903 4502 5172 5204 6753 7758 7806 9004 11709 13506 15516 15612 20259 23418 27012 38359 40518 46836 76718 81036 115077 115789 153436 200339 230154 231578 345231 347367 400678 460308 463156 560731 601017 690462 694734 801356 970181 1042101 1121462 1202034 1380924 1389468 1682193 1803051 1940362 2084202 2242924 2404068 2910543 2928551 3364386 3606102 3880724 4168404 5046579 5821086 5857102 6728772 7212204 8731629 8785653 10093158 11642172 11714204 17463258 17571306 20186316 26356959 34926516 35142612 49905059 52713918 86346109 99810118 105427836 149715177 172692218 199620236 259038327 260641039 299430354 345384436 449145531 518076654 521282078 598860708 777114981 781923117 898291062 1036153308 1042564156 1262205481 1554229962 1563846234 1796582124 2345769351 2524410962 3108459924 3127692468 3786616443 4691538702 5048821924 7573232886 9383077404 11359849329 15146465772 22719698658 45439397316 112336287809 224672575618 337008863427 449345151236 674017726854 1011026590281 1348035453708 2022053180562 4044106361124