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10342641414 = 2373121511697
BaseRepresentation
bin10011010000111100…
…00010111100000110
3222200210111121210010
421220132002330012
5132140204011124
64430142411050
7514205000340
oct115036027406
928623447703
1010342641414
114428173636
122007890a86
13c8a998181
14701876290
15407ee1529
hex268782f06

10342641414 has 96 divisors (see below), whose sum is σ = 24603775488. Its totient is φ = 2839104000.

The previous prime is 10342641359. The next prime is 10342641467. The reversal of 10342641414 is 41414624301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6093814 + ... + 6095510.

It is an arithmetic number, because the mean of its divisors is an integer number (256289328).

Almost surely, 210342641414 is an apocalyptic number.

10342641414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342641414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12301887744).

10342641414 is an abundant number, since it is smaller than the sum of its proper divisors (14261134074).

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

10342641414 is a wasteful number, since it uses less digits than its factorization.

10342641414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 10342641414 in words is "ten billion, three hundred forty-two million, six hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 151 186 217 302 434 453 651 906 961 1057 1302 1697 1922 2114 2883 3171 3394 4681 5091 5766 6342 6727 9362 10182 11879 13454 14043 20181 23758 28086 32767 35637 40362 52607 65534 71274 98301 105214 145111 157821 196602 256247 290222 315642 368249 435333 512494 736498 768741 870666 1015777 1104747 1537482 1630817 1793729 2031554 2209494 3047331 3261634 3587458 4892451 5381187 6094662 7943657 9784902 10762374 11415719 15887314 22831438 23830971 34247157 47661942 55605599 68494314 111211198 166816797 246253367 333633594 492506734 738760101 1477520202 1723773569 3447547138 5171320707 10342641414