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13411503224040 = 23351217316928979
BaseRepresentation
bin1100001100101001101111…
…1000101011010011101000
31202111010102201102020010010
43003022123320223103220
53224213224311132130
644305054242451520
72552643360320625
oct303123370532350
952433381366103
1013411503224040
114300871a29619
1216072a5363ba0
137639125647ac
14345197c4d34c
15183ce5dc30b0
hexc329be2b4e8

13411503224040 has 128 divisors (see below), whose sum is σ = 40281666768000. Its totient is φ = 3572211253248.

The previous prime is 13411503224039. The next prime is 13411503224047. The reversal of 13411503224040 is 4042230511431.

13411503224040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13411503223989 and 13411503224007.

It is not an unprimeable number, because it can be changed into a prime (13411503224047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462786271 + ... + 462815249.

It is an arithmetic number, because the mean of its divisors is an integer number (314700521625).

Almost surely, 213411503224040 is an apocalyptic number.

13411503224040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13411503224040 is an abundant number, since it is smaller than the sum of its proper divisors (26870163543960).

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

13411503224040 is a wasteful number, since it uses less digits than its factorization.

13411503224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33379 (or 33375 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 13411503224040 its reverse (4042230511431), we get a palindrome (17453733735471).

The spelling of 13411503224040 in words is "thirteen trillion, four hundred eleven billion, five hundred three million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1217 2434 3169 3651 4868 6085 6338 7302 9507 9736 12170 12676 14604 15845 18255 19014 24340 25352 28979 29208 31690 36510 38028 47535 48680 57958 63380 73020 76056 86937 95070 115916 126760 144895 146040 173874 190140 231832 289790 347748 380280 434685 579580 695496 869370 1159160 1738740 3477480 3856673 7713346 11570019 15426692 19283365 23140038 30853384 35267443 38566730 46280076 57850095 70534886 77133460 91834451 92560152 105802329 115700190 141069772 154266920 176337215 183668902 211604658 231400380 275503353 282139544 352674430 367337804 423209316 459172255 462800760 529011645 551006706 705348860 734675608 846418632 918344510 1058023290 1102013412 1377516765 1410697720 1836689020 2116046580 2204026824 2755033530 3673378040 4232093160 5510067060 11020134120 111762526867 223525053734 335287580601 447050107468 558812634335 670575161202 894100214936 1117625268670 1341150322404 1676437903005 2235250537340 2682300644808 3352875806010 4470501074680 6705751612020 13411503224040