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103414354443624 = 23375952319948849
BaseRepresentation
bin10111100000111000000111…
…110111000111110101101000
3111120011022112011120110112210
4113200320013313013311220
5102023320044214143444
61003535522032005120
730532304052101250
oct2740700767076550
9446138464513483
10103414354443624
112aa508660931a4
12b72248a0907a0
134591c161739b3
141b773d248a960
15be50a0c057b9
hex5e0e07dc7d68

103414354443624 has 128 divisors (see below), whose sum is σ = 301052085120000. Its totient is φ = 28990623458304.

The previous prime is 103414354443593. The next prime is 103414354443637. The reversal of 103414354443624 is 426344453414301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4790449 + ... + 15158400.

It is an arithmetic number, because the mean of its divisors is an integer number (2351969415000).

Almost surely, 2103414354443624 is an apocalyptic number.

103414354443624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103414354443624 is an abundant number, since it is smaller than the sum of its proper divisors (197637730676376).

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

103414354443624 is a wasteful number, since it uses less digits than its factorization.

103414354443624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19949447 (or 19949443 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 103414354443624 in words is "one hundred three trillion, four hundred fourteen billion, three hundred fifty-four million, four hundred forty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 523 708 826 1046 1239 1416 1569 1652 2092 2478 3138 3304 3661 4184 4956 6276 7322 9912 10983 12552 14644 21966 29288 30857 43932 61714 87864 92571 123428 185142 215999 246856 370284 431998 647997 740568 863996 1295994 1727992 2591988 5183976 19948849 39897698 59846547 79795396 119693094 139641943 159590792 239386188 279283886 418925829 478772376 558567772 837851658 1117135544 1176982091 1675703316 2353964182 3351406632 3530946273 4707928364 7061892546 8238874637 9415856728 10433248027 14123785092 16477749274 20866496054 24716623911 28247570184 31299744081 32955498548 41732992108 49433247822 62599488162 65910997096 73032736189 83465984216 98866495644 125198976324 146065472378 197732991288 219098208567 250397952648 292130944756 438196417134 584261889512 615561633593 876392834268 1231123267186 1752785668536 1846684900779 2462246534372 3693369801558 4308931435151 4924493068744 7386739603116 8617862870302 12926794305453 14773479206232 17235725740604 25853588610906 34471451481208 51707177221812 103414354443624