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13141312221450 = 2352785391465691
BaseRepresentation
bin1011111100111011001100…
…1111110011000100001010
31201112022000122101011110010
42333032303033303010022
53210301401412041300
643541011355532350
72524266652562250
oct277166317630412
951468018334403
1013141312221450
114207221179276
121582a5aa5a0b6
137442b33740ba
14336085a365d0
1517bc806aea50
hexbf3b33f310a

13141312221450 has 96 divisors (see below), whose sum is σ = 37250620807680. Its totient is φ = 3003374692800.

The previous prime is 13141312221419. The next prime is 13141312221463. The reversal of 13141312221450 is 5412221314131.

It is a super-2 number, since 2×131413122214502 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8233105 + ... + 9698795.

It is an arithmetic number, because the mean of its divisors is an integer number (388027300080).

Almost surely, 213141312221450 is an apocalyptic number.

13141312221450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13141312221450 is an abundant number, since it is smaller than the sum of its proper divisors (24109308586230).

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

13141312221450 is a wasteful number, since it uses less digits than its factorization.

13141312221450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474252 (or 1474247 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 13141312221450 its reverse (5412221314131), we get a palindrome (18553533535581).

The spelling of 13141312221450 in words is "thirteen trillion, one hundred forty-one billion, three hundred twelve million, two hundred twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 8539 17078 25617 42695 51234 59773 85390 119546 128085 179319 213475 256170 298865 358638 426950 597730 640425 896595 1280850 1465691 1494325 1793190 2931382 2988650 4397073 4482975 7328455 8794146 8965950 10259837 14656910 20519674 21985365 30779511 36642275 43970730 51299185 61559022 73284550 102598370 109926825 153897555 219853650 256495925 307795110 512991850 769487775 1538975550 12515535449 25031070898 37546606347 62577677245 75093212694 87608748143 125155354490 175217496286 187733031735 262826244429 312888386225 375466063470 438043740715 525652488858 625776772450 876087481430 938665158675 1314131222145 1877330317350 2190218703575 2628262444290 4380437407150 6570656110725 13141312221450