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13130143424224 = 253931586717791
BaseRepresentation
bin1011111100010001100110…
…0010001101111011100000
31201111020012021022110221121
42333010121202031323200
53210111013204033344
643531523221502024
72523423123430231
oct277043142157340
951436167273847
1013130143424224
11420250a72a642
121580862571914
13743223498a48
14335706587088
1517b829dcb684
hexbf11988dee0

13130143424224 has 48 divisors (see below), whose sum is σ = 25862406506496. Its totient is φ = 6561914083200.

The previous prime is 13130143424197. The next prime is 13130143424261. The reversal of 13130143424224 is 42242434103131.

13130143424224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131301434242243 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13130143424224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738012769 + ... + 738030559.

It is an arithmetic number, because the mean of its divisors is an integer number (538800135552).

Almost surely, 213130143424224 is an apocalyptic number.

It is an amenable number.

13130143424224 is a deficient number, since it is larger than the sum of its proper divisors (12732263082272).

13130143424224 is a wasteful number, since it uses less digits than its factorization.

13130143424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27599 (or 27591 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 13130143424224 its reverse (42242434103131), we get a palindrome (55372577527355).

The spelling of 13130143424224 in words is "thirteen trillion, one hundred thirty billion, one hundred forty-three million, four hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 3931 5867 7862 11734 15724 17791 23468 31448 35582 46936 62896 71164 93872 125792 142328 187744 284656 569312 23063177 46126354 69936421 92252708 104379797 139872842 184505416 208759594 279745684 369010832 417519188 559491368 738021664 835038376 1118982736 1670076752 2237965472 3340153504 410316982007 820633964014 1641267928028 3282535856056 6565071712112 13130143424224