Search a number
-
+
7014692229384 = 2337711439408677
BaseRepresentation
bin110011000010011110000…
…1111010001000100001000
3220211121010221222120011010
41212010330033101010020
51404412042202320014
622530301035003520
71322536420104210
oct146047417210410
926747127876133
107014692229384
112264a06988784
129535b22995a0
133bb637485998
141a3727623240
15c27054bc359
hex6613c3d1108

7014692229384 has 128 divisors (see below), whose sum is σ = 20338432819200. Its totient is φ = 1974591655680.

The previous prime is 7014692229383. The next prime is 7014692229403. The reversal of 7014692229384 is 4839222964107.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7014692229383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16960054 + ... + 17368730.

It is an arithmetic number, because the mean of its divisors is an integer number (158894006400).

Almost surely, 27014692229384 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 7014692229384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169216409600).

7014692229384 is an abundant number, since it is smaller than the sum of its proper divisors (13323740589816).

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

7014692229384 is a wasteful number, since it uses less digits than its factorization.

7014692229384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410203 (or 410199 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 7014692229384 in words is "seven trillion, fourteen billion, six hundred ninety-two million, two hundred twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1439 1491 1704 1988 2878 2982 3976 4317 5756 5964 8634 10073 11512 11928 17268 20146 30219 34536 40292 60438 80584 102169 120876 204338 241752 306507 408676 408677 613014 715183 817352 817354 1226028 1226031 1430366 1634708 2145549 2452056 2452062 2860732 2860739 3269416 4291098 4904124 5721464 5721478 8582196 8582217 9808248 11442956 17164392 17164434 22885912 29016067 34328868 58032134 68657736 87048201 116064268 174096402 203112469 232128536 348192804 406224938 588086203 609337407 696385608 812449876 1176172406 1218674814 1624899752 1764258609 2352344812 2437349628 3528517218 4116603421 4704689624 4874699256 7057034436 8233206842 12349810263 14114068872 16466413684 24699620526 32932827368 41754120413 49399241052 83508240826 98798482104 125262361239 167016481652 250524722478 292278842891 334032963304 501049444956 584557685782 876836528673 1002098889912 1169115371564 1753673057346 2338230743128 3507346114692 7014692229384