Search a number
-
+
4255662144 = 263313971801
BaseRepresentation
bin1111110110101000…
…0100000001000000
3101222120210000222110
43331222010001000
532203422142034
61542141335320
7210313350156
oct37552040100
911876700873
104255662144
111894234a58
129a9267540
1352a8973a6
142c52a53d6
1519d926de9
hexfda84040

4255662144 has 112 divisors (see below), whose sum is σ = 11658738176. Its totient is φ = 1368576000.

The previous prime is 4255662121. The next prime is 4255662157. The reversal of 4255662144 is 4412665524.

It is a super-2 number, since 2×42556621442 = 36221320567749353472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2362044 + ... + 2363844.

Almost surely, 24255662144 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 4255662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829369088).

4255662144 is an abundant number, since it is smaller than the sum of its proper divisors (7403076032).

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

4255662144 is a wasteful number, since it uses less digits than its factorization.

4255662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2234 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 4255662144 is about 65235.4362597507. The cubic root of 4255662144 is about 1620.5249205816.

The spelling of 4255662144 in words is "four billion, two hundred fifty-five million, six hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 397 496 744 794 992 1191 1488 1588 1801 1984 2382 2976 3176 3602 4764 5403 5952 6352 7204 9528 10806 12307 12704 14408 19056 21612 24614 25408 28816 36921 38112 43224 49228 55831 57632 73842 76224 86448 98456 111662 115264 147684 167493 172896 196912 223324 295368 334986 345792 393824 446648 590736 669972 714997 787648 893296 1181472 1339944 1429994 1786592 2144991 2362944 2679888 2859988 3573184 4289982 5359776 5719976 8579964 10719552 11439952 17159928 22164907 22879904 34319856 44329814 45759808 66494721 68639712 88659628 132989442 137279424 177319256 265978884 354638512 531957768 709277024 1063915536 1418554048 2127831072 4255662144