Search a number
-
+
344444002011232 = 25313343871038383
BaseRepresentation
bin100111001010001010001111…
…0011000101000100001100000
31200011120112011201200102221021
41032110110132120220201200
5330121332304003324412
63220323220130335224
7132360154316423044
oct11624243630504140
91604515151612837
10344444002011232
119a8289765538a2
123276b67b42a514
1311a26c12332876
14610b2702da024
1529c4ba3e37607
hex139451e628860

344444002011232 has 48 divisors (see below), whose sum is σ = 700001868367872. Its totient is φ = 166665793656960.

The previous prime is 344444002011217. The next prime is 344444002011247. The reversal of 344444002011232 is 232110200444443.

It is an interprime number because it is at equal distance from previous prime (344444002011217) and next prime (344444002011247).

It is a super-2 number, since 2×3444440020112322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331192713 + ... + 332231095.

It is an arithmetic number, because the mean of its divisors is an integer number (14583372257664).

Almost surely, 2344444002011232 is an apocalyptic number.

344444002011232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344444002011232 is an abundant number, since it is smaller than the sum of its proper divisors (355557866356640).

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

344444002011232 is a wasteful number, since it uses less digits than its factorization.

344444002011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372811 (or 1372803 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 344444002011232 its reverse (232110200444443), we get a palindrome (576554202455675).

The spelling of 344444002011232 in words is "three hundred forty-four trillion, four hundred forty-four billion, two million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 334387 668774 1038383 1337548 2076766 2675096 4153532 5350192 8307064 10365997 10700384 16614128 20731994 32189873 33228256 41463988 64379746 82927976 128759492 165855952 257518984 331711904 515037968 1030075936 347221776221 694443552442 1388887104884 2777774209768 5555548419536 10763875062851 11111096839072 21527750125702 43055500251404 86111000502808 172222001005616 344444002011232