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13104440140410 = 234543781748131
BaseRepresentation
bin1011111010110001110101…
…1111111110001001111010
31201101202211222001101010000
42332230131133332021322
53204200343133443120
643512032515133430
72521523146216563
oct276543537761172
951352758041100
1013104440140410
1141a261a911023
12157788a5a4276
13740988343578
14334388a4d16a
1517ad235d8990
hexbeb1d7fe27a

13104440140410 has 160 divisors (see below), whose sum is σ = 36061195972032. Its totient is φ = 3412741973760.

The previous prime is 13104440140399. The next prime is 13104440140481. The reversal of 13104440140410 is 1404104440131.

13104440140410 is a `hidden beast` number, since 1 + 3 + 104 + 4 + 4 + 0 + 140 + 410 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 272242045 + ... + 272290175.

Almost surely, 213104440140410 is an apocalyptic number.

13104440140410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13104440140410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030597986016).

13104440140410 is an abundant number, since it is smaller than the sum of its proper divisors (22956755831622).

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

13104440140410 is a wasteful number, since it uses less digits than its factorization.

13104440140410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56010 (or 56001 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13104440140410 its reverse (1404104440131), we get a palindrome (14508544580541).

The spelling of 13104440140410 in words is "thirteen trillion, one hundred four billion, four hundred forty million, one hundred forty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 387 405 430 645 774 810 1161 1290 1935 2322 3483 3870 5805 6966 7817 11610 15634 17415 23451 34830 39085 46902 48131 70353 78170 96262 117255 140706 144393 211059 234510 240655 288786 336131 351765 422118 433179 481310 633177 672262 703530 721965 866358 1008393 1055295 1266354 1299537 1443930 1680655 2016786 2069633 2110590 2165895 2599074 3025179 3165885 3361310 3898611 4139266 4331790 5041965 6050358 6208899 6331770 6497685 7797222 9075537 10083930 10348165 12417798 12995370 15125895 18151074 18626697 19493055 20696330 27226611 30251790 31044495 37253394 38986110 45377685 54453222 55880091 62088990 90755370 93133485 111760182 136133055 167640273 186266970 272266110 279400455 335280546 376240027 558800910 752480054 838201365 1128720081 1676402730 1881200135 2257440162 3386160243 3762400270 5643600405 6772320486 10158480729 11287200810 16178321161 16930801215 20316961458 30475442187 32356642322 33861602430 48534963483 50792403645 60950884374 80891605805 97069926966 101584807290 145604890449 152377210935 161783211610 242674817415 291209780898 304754421870 436814671347 485349634830 728024452245 873629342694 1310444014041 1456048904490 2184073356735 2620888028082 4368146713470 6552220070205 13104440140410