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13341448960 = 285711313177
BaseRepresentation
bin11000110110011011…
…00101101100000000
31021102210021211101021
430123031211230000
5204310402331320
610043505315224
7651420305440
oct143315455400
937383254337
1013341448960
11572699a084
122704035b14
1313480529c8
14907c4c120
155313ebdaa
hex31b365b00

13341448960 has 144 divisors (see below), whose sum is σ = 36848218176. Its totient is φ = 4533387264.

The previous prime is 13341448867. The next prime is 13341448961. The reversal of 13341448960 is 6984414331.

It is not an unprimeable number, because it can be changed into a prime (13341448961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005892 + ... + 1019068.

It is an arithmetic number, because the mean of its divisors is an integer number (255890404).

Almost surely, 213341448960 is an apocalyptic number.

13341448960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18424109088).

13341448960 is an abundant number, since it is smaller than the sum of its proper divisors (23506769216).

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

13341448960 is a wasteful number, since it uses less digits than its factorization.

13341448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318 (or 13304 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 13341448960 in words is "thirteen billion, three hundred forty-one million, four hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 128 140 160 224 226 256 280 320 448 452 560 565 640 791 896 904 1120 1130 1280 1582 1792 1808 2240 2260 3164 3616 3955 4480 4520 6328 7232 7910 8960 9040 12656 13177 14464 15820 18080 25312 26354 28928 31640 36160 50624 52708 63280 65885 72320 92239 101248 105416 126560 131770 144640 184478 202496 210832 253120 263540 368956 421664 461195 506240 527080 737912 843328 922390 1012480 1054160 1475824 1489001 1686656 1844780 2108320 2951648 2978002 3373312 3689560 4216640 5903296 5956004 7379120 7445005 8433280 10423007 11806592 11912008 14758240 14890010 16866560 20846014 23613184 23824016 29516480 29780020 41692028 47648032 52115035 59032960 59560040 83384056 95296064 104230070 118065920 119120080 166768112 190592128 208460140 238240160 333536224 381184256 416920280 476480320 667072448 833840560 952960640 1334144896 1667681120 1905921280 2668289792 3335362240 6670724480 13341448960