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31044203113434 = 23759149132763361
BaseRepresentation
bin1110000111100000010101…
…01100101110101111011010
311001220210111220002000011120
413003300022230232233122
513032112011444112214
6150005302055510110
76352604202405120
oct703601254565732
9131823456060146
1031044203113434
119989855378355
1235946a8988336
1314425c04b61c4
147947942a7910
1538c7e701dea9
hex1c3c0ab2ebda

31044203113434 has 128 divisors (see below), whose sum is σ = 72701051904000. Its totient is φ = 8654254202880.

The previous prime is 31044203113421. The next prime is 31044203113543. The reversal of 31044203113434 is 43431130244013.

It is a junction number, because it is equal to n+sod(n) for n = 31044203113395 and 31044203113404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489925914 + ... + 489989274.

It is an arithmetic number, because the mean of its divisors is an integer number (567976968000).

Almost surely, 231044203113434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31044203113434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36350525952000).

31044203113434 is an abundant number, since it is smaller than the sum of its proper divisors (41656848790566).

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

31044203113434 is a wasteful number, since it uses less digits than its factorization.

31044203113434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64908.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 31044203113434 its reverse (43431130244013), we get a palindrome (74475333357447).

The spelling of 31044203113434 in words is "thirty-one trillion, forty-four billion, two hundred three million, one hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 59 118 149 177 298 354 413 447 826 894 1043 1239 1327 2086 2478 2654 3129 3981 6258 7962 8791 9289 17582 18578 26373 27867 52746 55734 61537 63361 78293 123074 126722 156586 184611 190083 197723 234879 369222 380166 395446 443527 469758 548051 593169 887054 1096102 1186338 1330581 1384061 1644153 2661162 2768122 3288306 3738299 4152183 7476598 8304366 9440789 11214897 11665657 18881578 22429794 23331314 26168093 28322367 34996971 52336186 56644734 66085523 69993942 78504279 81659599 84080047 132171046 157008558 163319198 168160094 198256569 244978797 252240141 396513138 489957594 504480282 557006551 588560329 1114013102 1177120658 1671019653 1765680987 3342039306 3531361974 3899045857 4960722773 7798091714 9921445546 11697137571 12527927003 14882168319 23394275142 25055854006 29764336638 34725059411 37583781009 69450118822 75167562018 87695489021 104175178233 175390978042 208350356466 263086467063 526172934126 739147693177 1478295386354 2217443079531 4434886159062 5174033852239 10348067704478 15522101556717 31044203113434