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13261944631120 = 24531239172113001
BaseRepresentation
bin1100000011111100100101…
…1111111010111101010000
31201221211101201112111220221
43000333021133322331100
53214240430311143440
644112241523042424
72536100231256523
oct300771137727520
951854351474827
1013261944631120
1142533a5008109
1215a2306510414
13752799593a73
1433bc4ad60bba
1517ee90e35d4a
hexc0fc97faf50

13261944631120 has 160 divisors (see below), whose sum is σ = 31982872965120. Its totient is φ = 5108812800000.

The previous prime is 13261944631109. The next prime is 13261944631163. The reversal of 13261944631120 is 2113644916231.

It is a congruent 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, 1020064620 + ... + 1020077620.

It is an arithmetic number, because the mean of its divisors is an integer number (199892956032).

Almost surely, 213261944631120 is an apocalyptic number.

13261944631120 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 13261944631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991436482560).

13261944631120 is an abundant number, since it is smaller than the sum of its proper divisors (18720928334000).

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

13261944631120 is a wasteful number, since it uses less digits than its factorization.

13261944631120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15005 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 13261944631120 in words is "thirteen trillion, two hundred sixty-one billion, nine hundred forty-four million, six hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 239 248 310 478 496 620 956 1195 1240 1721 1912 2390 2480 3442 3824 4780 6884 7409 8605 9560 13001 13768 14818 17210 19120 26002 27536 29636 34420 37045 52004 53351 59272 65005 68840 74090 104008 106702 118544 130010 137680 148180 208016 213404 260020 266755 296360 403031 411319 426808 520040 533510 592720 806062 822638 853616 1040080 1067020 1612124 1645276 2015155 2056595 2134040 3107239 3224248 3290552 4030310 4113190 4268080 6214478 6448496 6581104 8060620 8226380 12428956 12750889 15536195 16121240 16452760 22374721 24857912 25501778 31072390 32242480 32905520 44749442 49715824 51003556 62144780 63754445 89498884 96324409 102007112 111873605 124289560 127508890 178997768 192648818 204014224 223747210 248579120 255017780 357995536 385297636 447494420 481622045 510035560 693616351 770595272 894988840 963244090 1020071120 1387232702 1541190544 1789977680 1926488180 2774465404 3468081755 3852976360 5347558319 5548930808 6936163510 7705952720 10695116638 11097861616 13872327020 21390233276 26737791595 27744654040 42780466552 53475583190 55489308080 85560933104 106951166380 165774307889 213902332760 331548615778 427804665520 663097231556 828871539445 1326194463112 1657743078890 2652388926224 3315486157780 6630972315560 13261944631120