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13340440113040 = 2453170112835981
BaseRepresentation
bin1100001000100001000000…
…1100011010111110010000
31202020100000012122011010001
43002020100030122332100
53222032210132104130
644212302533415344
72544546353665165
oct302102014327620
952210005564101
1013340440113040
114283715728517
1215b557249a554
13759cc8ab3ca1
14341975d7c06c
151820372b66ca
hexc221031af90

13340440113040 has 160 divisors (see below), whose sum is σ = 32093085053952. Its totient is φ = 5151793920000.

The previous prime is 13340440112941. The next prime is 13340440113053. The reversal of 13340440113040 is 4031104404331.

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, 2230466850 + ... + 2230472830.

Almost surely, 213340440113040 is an apocalyptic number.

13340440113040 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 13340440113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16046542526976).

13340440113040 is an abundant number, since it is smaller than the sum of its proper divisors (18752644940912).

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

13340440113040 is a wasteful number, since it uses less digits than its factorization.

13340440113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8009 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13340440113040 its reverse (4031104404331), we get a palindrome (17371544517371).

The spelling of 13340440113040 in words is "thirteen trillion, three hundred forty billion, four hundred forty million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 701 1240 1283 1402 2480 2566 2804 3505 5132 5608 5981 6415 7010 10264 11216 11962 12830 14020 20528 21731 23924 25660 28040 29905 39773 43462 47848 51320 56080 59810 79546 86924 95696 102640 108655 119620 159092 173848 185411 198865 217310 239240 318184 347696 370822 397730 434620 478480 636368 741644 795460 869240 899383 927055 1483288 1590920 1738480 1798766 1854110 2966576 3181840 3597532 3708220 4192681 4496915 7195064 7416440 7673623 8385362 8993830 14390128 14832880 15347246 16770724 17987660 20963405 27880873 30694492 33541448 35975320 38368115 41926810 55761746 61388984 67082896 71950640 76736230 83853620 111523492 122777968 129973111 139404365 153472460 167707240 223046984 237882313 259946222 278808730 306944920 335414480 446093968 475764626 519892444 557617460 613889840 649865555 951529252 1039784888 1115234920 1189411565 1299731110 1903058504 2079569776 2230469840 2378823130 2599462220 3806117008 4757646260 5198924440 5379209723 9515292520 10397848880 10758419446 19030585040 21516838892 26896048615 43033677784 53792097230 86067355568 107584194460 166755501413 215168388920 333511002826 430336777840 667022005652 833777507065 1334044011304 1667555014130 2668088022608 3335110028260 6670220056520 13340440113040