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13140023344020 = 22365901236169
BaseRepresentation
bin1011111100110110011001…
…1011000111101110010100
31201112011200211010102000000
42333031212123013232110
53210241231434002040
643540235434451300
72524223012365146
oct277154633075624
951464624112000
1013140023344020
11420671a688611
12158275b293b30
13744139331931
14335da27acc96
1517bc0746a130
hexbf3666c7b94

13140023344020 has 84 divisors (see below), whose sum is σ = 41372147620020. Its totient is φ = 3504006221184.

The previous prime is 13140023343971. The next prime is 13140023344037. The reversal of 13140023344020 is 2044332004131.

13140023344020 is a `hidden beast` number, since 1 + 3 + 1 + 400 + 233 + 4 + 4 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5757293118096 + 7382730225924 = 2399436^2 + 2717118^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 450603505 + ... + 450632664.

It is an arithmetic number, because the mean of its divisors is an integer number (492525566905).

Almost surely, 213140023344020 is an apocalyptic number.

13140023344020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140023344020 is an abundant number, since it is smaller than the sum of its proper divisors (28232124276000).

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

13140023344020 is an equidigital number, since it uses as much as digits as its factorization.

13140023344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901236196 (or 901236179 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13140023344020 its reverse (2044332004131), we get a palindrome (15184355348151).

The spelling of 13140023344020 in words is "thirteen trillion, one hundred forty billion, twenty-three million, three hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 901236169 1802472338 2703708507 3604944676 4506180845 5407417014 8111125521 9012361690 10814834028 13518542535 16222251042 18024723380 24333376563 27037085070 32444502084 40555627605 48666753126 54074170140 73000129689 81111255210 97333506252 121666882815 146000259378 162222510420 219000389067 243333765630 292000518756 365000648445 438000778134 486667531260 657001167201 730001296890 876001556268 1095001945335 1314002334402 1460002593780 2190003890670 2628004668804 3285005836005 4380007781340 6570011672010 13140023344020