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13130250340440 = 2335434754140897
BaseRepresentation
bin1011111100010001111111…
…1010000100100001011000
31201111020110201111101102110
42333010133322010201120
53210111223041343230
643531542001232320
72523425562256302
oct277043772044130
951436421441373
1013130250340440
114202565015352
1215808923326a0
1374323c69158c
14335716858972
1517b83449a4b0
hexbf11fe84858

13130250340440 has 128 divisors (see below), whose sum is σ = 41164407567360. Its totient is φ = 3347206754304.

The previous prime is 13130250340381. The next prime is 13130250340511. The reversal of 13130250340440 is 4404305203131.

13130250340440 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 = 13130250340398 and 13130250340407.

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, 26827929 + ... + 27312968.

It is an arithmetic number, because the mean of its divisors is an integer number (321596934120).

Almost surely, 213130250340440 is an apocalyptic number.

13130250340440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130250340440 is an abundant number, since it is smaller than the sum of its proper divisors (28034157226920).

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

13130250340440 is a wasteful number, since it uses less digits than its factorization.

13130250340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54141001 (or 54140997 counting only the distinct ones).

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

Adding to 13130250340440 its reverse (4404305203131), we get a palindrome (17534555543571).

The spelling of 13130250340440 in words is "thirteen trillion, one hundred thirty billion, two hundred fifty million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 47 60 86 94 120 129 141 172 188 215 235 258 282 344 376 430 470 516 564 645 705 860 940 1032 1128 1290 1410 1720 1880 2021 2580 2820 4042 5160 5640 6063 8084 10105 12126 16168 20210 24252 30315 40420 48504 60630 80840 121260 242520 54140897 108281794 162422691 216563588 270704485 324845382 433127176 541408970 649690764 812113455 1082817940 1299381528 1624226910 2165635880 2328058571 2544622159 3248453820 4656117142 5089244318 6496907640 6984175713 7633866477 9312234284 10178488636 11640292855 12723110795 13968351426 15267732954 18624468568 20356977272 23280585710 25446221590 27936702852 30535465908 34920878565 38169332385 46561171420 50892443180 55873405704 61070931816 69841757130 76338664770 93122342840 101784886360 109418752837 139683514260 152677329540 218837505674 279367028520 305354659080 328256258511 437675011348 547093764185 656512517022 875350022696 1094187528370 1313025034044 1641281292555 2188375056740 2626050068088 3282562585110 4376750113480 6565125170220 13130250340440