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4314314004 = 22371113359167
BaseRepresentation
bin1000000010010011…
…10011010100010100
3102010200010212012120
410001021303110110
532313431022004
61552034415540
7211625030640
oct40111632424
912120125176
104314314004
111914354a70
12a04a315b0
13539a91830
142ccdb1c20
151a3b603d9
hex101273514

4314314004 has 96 divisors (see below), whose sum is σ = 13516210176. Its totient is φ = 1034398080.

The previous prime is 4314313967. The next prime is 4314314023. The reversal of 4314314004 is 4004134134.

It is a super-2 number, since 2×43143140042 = 37226610650221024032, which contains 22 as substring.

It is a congruent 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, 167572 + ... + 191595.

It is an arithmetic number, because the mean of its divisors is an integer number (140793856).

Almost surely, 24314314004 is an apocalyptic number.

4314314004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4314314004 is an abundant number, since it is smaller than the sum of its proper divisors (9201896172).

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

4314314004 is a wasteful number, since it uses less digits than its factorization.

4314314004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359205 (or 359203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4314314004 is about 65683.4378211129. The cubic root of 4314314004 is about 1627.9357114308.

Adding to 4314314004 its reverse (4004134134), we get a palindrome (8318448138).

The spelling of 4314314004 in words is "four billion, three hundred fourteen million, three hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 359167 718334 1077501 1436668 2155002 2514169 3950837 4310004 4669171 5028338 7542507 7901674 9338342 10056676 11852511 14007513 15085014 15803348 18676684 23705022 27655859 28015026 30170028 32684197 47410044 51360881 55311718 56030052 65368394 82967577 98052591 102721762 110623436 130736788 154082643 165935154 196105182 205443524 308165286 331870308 359526167 392210364 616330572 719052334 1078578501 1438104668 2157157002 4314314004