Search a number
-
+
13140878670 = 235517930211
BaseRepresentation
bin11000011110100000…
…11110010101001110
31020220210212210200000
430033100132111032
5203403031104140
610011542345130
7643433424423
oct141720362516
936823783600
1013140878670
115633757707
122668a2b1a6
131315628c6a
148c935bd4a
1551d9cda30
hex30f41e54e

13140878670 has 96 divisors (see below), whose sum is σ = 35630824320. Its totient is φ = 3484542240.

The previous prime is 13140878657. The next prime is 13140878677. The reversal of 13140878670 is 7687804131.

13140878670 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140878677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419865 + ... + 450075.

It is an arithmetic number, because the mean of its divisors is an integer number (371154420).

Almost surely, 213140878670 is an apocalyptic number.

13140878670 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 13140878670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815412160).

13140878670 is an abundant number, since it is smaller than the sum of its proper divisors (22489945650).

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

13140878670 is a wasteful number, since it uses less digits than its factorization.

13140878670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30412 (or 30400 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 13140878670 in words is "thirteen billion, one hundred forty million, eight hundred seventy-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 179 243 270 358 405 486 537 810 895 1074 1215 1611 1790 2430 2685 3222 4833 5370 8055 9666 14499 16110 24165 28998 30211 43497 48330 60422 72495 86994 90633 144990 151055 181266 217485 271899 302110 434970 453165 543798 815697 906330 1359495 1631394 2447091 2718990 4078485 4894182 5407769 7341273 8156970 10815538 12235455 14682546 16223307 24470910 27038845 32446614 36706365 48669921 54077690 73412730 81116535 97339842 146009763 162233070 243349605 292019526 438029289 486699210 730048815 876058578 1314087867 1460097630 2190146445 2628175734 4380292890 6570439335 13140878670