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13140232035240 = 23351991579348487
BaseRepresentation
bin1011111100110111001011…
…0111001101101110101000
31201112012020100211000112110
42333031302313031232220
53210242143400111430
643540312251442320
72524231125261312
oct277156267155650
951465210730473
1013140232035240
1142068174673a2
1215827b91563a0
1374417063cb6b
14335dc23b47b2
1517bc1a93e7b0
hexbf372dcdba8

13140232035240 has 128 divisors (see below), whose sum is σ = 39643994880000. Its totient is φ = 3484235513088.

The previous prime is 13140232035223. The next prime is 13140232035253. The reversal of 13140232035240 is 4253023204131.

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 = 13140232035198 and 13140232035207.

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, 37532277 + ... + 37880763.

It is an arithmetic number, because the mean of its divisors is an integer number (309718710000).

Almost surely, 213140232035240 is an apocalyptic number.

13140232035240 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 13140232035240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19821997440000).

13140232035240 is an abundant number, since it is smaller than the sum of its proper divisors (26503762844760).

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

13140232035240 is a wasteful number, since it uses less digits than its factorization.

13140232035240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350279 (or 350275 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13140232035240 its reverse (4253023204131), we get a palindrome (17393255239371).

The spelling of 13140232035240 in words is "thirteen trillion, one hundred forty billion, two hundred thirty-two million, thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 199 398 597 796 995 1194 1579 1592 1990 2388 2985 3158 3980 4737 4776 5970 6316 7895 7960 9474 11940 12632 15790 18948 23685 23880 31580 37896 47370 63160 94740 189480 314221 348487 628442 696974 942663 1045461 1256884 1393948 1571105 1742435 1885326 2090922 2513768 2787896 3142210 3484870 3770652 4181844 4713315 5227305 6284420 6969740 7541304 8363688 9426630 10454610 12568840 13939480 18853260 20909220 37706520 41818440 69348913 138697826 208046739 277395652 346744565 416093478 550260973 554791304 693489130 832186956 1040233695 1100521946 1386978260 1650782919 1664373912 2080467390 2201043892 2751304865 2773956520 3301565838 4160934780 4402087784 5502609730 6603131676 8253914595 8321869560 11005219460 13206263352 16507829190 22010438920 33015658380 66031316760 109501933627 219003867254 328505800881 438007734508 547509668135 657011601762 876015469016 1095019336270 1314023203524 1642529004405 2190038672540 2628046407048 3285058008810 4380077345080 6570116017620 13140232035240