Search a number
-
+
414320331012 = 223738331286821
BaseRepresentation
bin1100000011101110110…
…10101000100100000100
31110121102200210120002220
412001313122220210010
523242012001043022
6514200334332340
741635146464130
oct6016732504404
91417380716086
10414320331012
1114a792031005
126836b05a0b0
13300bb415ca3
14160a60223c0
15ab9dc0485c
hex60776a8904

414320331012 has 48 divisors (see below), whose sum is σ = 1105143322752. Its totient is φ = 118346261760.

The previous prime is 414320330989. The next prime is 414320331023. The reversal of 414320331012 is 210133023414.

It is a happy number.

It is a super-2 number, since 2×4143203310122 (a number of 24 digits) 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, 321439 + ... + 965382.

It is an arithmetic number, because the mean of its divisors is an integer number (23023819224).

Almost surely, 2414320331012 is an apocalyptic number.

414320331012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414320331012 is an abundant number, since it is smaller than the sum of its proper divisors (690822991740).

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

414320331012 is a wasteful number, since it uses less digits than its factorization.

414320331012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290668 (or 1290666 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 414320331012 its reverse (210133023414), we get a palindrome (624453354426).

The spelling of 414320331012 in words is "four hundred fourteen billion, three hundred twenty million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 3833 7666 11499 15332 22998 26831 45996 53662 80493 107324 160986 321972 1286821 2573642 3860463 5147284 7720926 9007747 15441852 18015494 27023241 36030988 54046482 108092964 4932384893 9864769786 14797154679 19729539572 29594309358 34526694251 59188618716 69053388502 103580082753 138106777004 207160165506 414320331012