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13241120140 = 225171912371657
BaseRepresentation
bin11000101010011101…
…10111010110001100
31021011210111121010001
430111032313112030
5204104211321030
610025523054044
7646061443543
oct142516672614
937153447101
1013241120140
1156852a35a6
122696511324
131330325641
148d87b315a
155276cecca
hex3153b758c

13241120140 has 96 divisors (see below), whose sum is σ = 31035372480. Its totient is φ = 4715864064.

The previous prime is 13241120129. The next prime is 13241120141. The reversal of 13241120140 is 4102114231.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13241120141) 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, 7990192 + ... + 7991848.

It is an arithmetic number, because the mean of its divisors is an integer number (323285130).

Almost surely, 213241120140 is an apocalyptic number.

13241120140 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 13241120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15517686240).

13241120140 is an abundant number, since it is smaller than the sum of its proper divisors (17794252340).

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

13241120140 is a wasteful number, since it uses less digits than its factorization.

13241120140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13241120140 its reverse (4102114231), we get a palindrome (17343234371).

The spelling of 13241120140 in words is "thirteen billion, two hundred forty-one million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1237 1292 1615 1657 2474 3230 3314 4948 6185 6460 6628 8285 12370 16570 21029 23503 24740 28169 31483 33140 42058 47006 56338 62966 84116 94012 105145 112676 117515 125932 140845 157415 210290 235030 281690 314830 399551 420580 470060 535211 563380 629660 799102 1070422 1598204 1997755 2049709 2140844 2676055 3995510 4099418 5352110 7991020 8198836 10248545 10704220 20497090 34845053 38944471 40994180 69690106 77888942 139380212 155777884 174225265 194722355 348450530 389444710 662056007 696901060 778889420 1324112014 2648224028 3310280035 6620560070 13241120140