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1134314130404 = 2271317201191153
BaseRepresentation
bin10000100000011010011…
…001000000101111100100
311000102212022011012110102
4100200122121000233210
5122041033404133104
62225032520243232
7144644235011030
oct20403231005744
94012768135412
101134314130404
113a8072834054
12163a07610518
1382c71b99450
143cc888771c0
151e78d200a1e
hex1081a640be4

1134314130404 has 96 divisors (see below), whose sum is σ = 2588166878976. Its totient is φ = 422128558080.

The previous prime is 1134314130361. The next prime is 1134314130409. The reversal of 1134314130404 is 4040314134311.

It is not an unprimeable number, because it can be changed into a prime (1134314130409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12398492 + ... + 12489644.

It is an arithmetic number, because the mean of its divisors is an integer number (26960071656).

Almost surely, 21134314130404 is an apocalyptic number.

1134314130404 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 1134314130404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294083439488).

1134314130404 is an abundant number, since it is smaller than the sum of its proper divisors (1453852748572).

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

1134314130404 is a wasteful number, since it uses less digits than its factorization.

1134314130404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93205 (or 93203 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 1134314130404 its reverse (4040314134311), we get a palindrome (5174628264715).

The spelling of 1134314130404 in words is "one trillion, one hundred thirty-four billion, three hundred fourteen million, one hundred thirty thousand, four hundred four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 884 1547 2011 3094 4022 6188 8044 14077 26143 28154 34187 52286 56308 68374 91153 104572 136748 182306 183001 239309 364612 366002 444431 478618 638071 732004 888862 957236 1184989 1276142 1549601 1777724 2369978 2552284 3099202 3111017 4739956 6198404 6222034 8294923 10847207 12444068 16589846 20144813 21694414 33179692 40289626 43388828 80579252 141013691 183308683 282027382 366617366 564054764 733234732 1283160781 2383012879 2566321562 3116247611 4766025758 5132643124 6232495222 9532051516 12464990444 16681090153 21813733277 33362180306 40511218943 43627466554 66724360612 81022437886 87254933108 162044875772 283578532601 567157065202 1134314130404