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13148354044 = 2272331389521
BaseRepresentation
bin11000011111011001…
…11111010111111100
31020221022221120221201
430033230333113330
5203411434312134
610012410505244
7643554110500
oct141754772774
936838846851
1013148354044
1156379a3001
12266b435224
131317045667
148ca346300
1551e4a8914
hex30fb3f5fc

13148354044 has 72 divisors (see below), whose sum is σ = 26967835440. Its totient is φ = 5592787200.

The previous prime is 13148353969. The next prime is 13148354137. The reversal of 13148354044 is 44045384131.

It is a junction number, because it is equal to n+sod(n) for n = 13148353994 and 13148354012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25236504 + ... + 25237024.

It is an arithmetic number, because the mean of its divisors is an integer number (374553270).

Almost surely, 213148354044 is an apocalyptic number.

13148354044 is a gapful number since it is divisible by the number (14) 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 13148354044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483917720).

13148354044 is an abundant number, since it is smaller than the sum of its proper divisors (13819481396).

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

13148354044 is a wasteful number, since it uses less digits than its factorization.

13148354044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 13148354044 in words is "thirteen billion, one hundred forty-eight million, three hundred fifty-four thousand, forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 331 389 521 662 778 1042 1324 1556 2084 2317 2723 3647 4634 5446 7294 9268 10892 14588 16219 19061 25529 32438 38122 51058 64876 76244 102116 128759 172451 202669 257518 344902 405338 515036 689804 810676 901313 1207157 1418683 1802626 2414314 2837366 3605252 4828628 5674732 6309191 8450099 9930781 12618382 16900198 19861562 25236764 33800396 39723124 67083439 134166878 268333756 469584073 939168146 1878336292 3287088511 6574177022 13148354044