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1004124004044 = 223759257788357
BaseRepresentation
bin11101001110010100111…
…01000101111011001100
310112222211010110112111120
432213022131011323030
5112422421221112134
62045142130120540
7132355062131310
oct16471235057314
93488733415446
101004124004044
113579349061a7
12142733120150
13738c47b6815
1436858039b40
151b1bd833649
hexe9ca745ecc

1004124004044 has 96 divisors (see below), whose sum is σ = 2733647132160. Its totient is φ = 280932237312.

The previous prime is 1004124003997. The next prime is 1004124004063. The reversal of 1004124004044 is 4404004214001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879514 + ... + 1667870.

It is an arithmetic number, because the mean of its divisors is an integer number (28475490960).

Almost surely, 21004124004044 is an apocalyptic number.

1004124004044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004124004044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366823566080).

1004124004044 is an abundant number, since it is smaller than the sum of its proper divisors (1729523128116).

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

1004124004044 is a wasteful number, since it uses less digits than its factorization.

1004124004044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788687 (or 788685 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1004124004044 its reverse (4404004214001), we get a palindrome (5408128218045).

The spelling of 1004124004044 in words is "one trillion, four billion, one hundred twenty-four million, four thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 257 354 413 514 708 771 826 1028 1239 1542 1652 1799 2478 3084 3598 4956 5397 7196 10794 15163 21588 30326 45489 60652 90978 106141 181956 212282 318423 424564 636846 788357 1273692 1576714 2365071 3153428 4730142 5518499 9460284 11036998 16555497 22073996 33110994 46513063 66221988 93026126 139539189 186052252 202607749 279078378 325591441 405215498 558156756 607823247 651182882 810430996 976774323 1215646494 1302365764 1418254243 1953548646 2431292988 2836508486 3907097292 4254762729 5673016972 8509525458 11953857191 17019050916 23907714382 35861571573 47815428764 71723143146 83677000337 143446286292 167354000674 251031001011 334708001348 502062002022 1004124004044