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13142817750 = 235319922303
BaseRepresentation
bin11000011110101111…
…10111101111010110
31020220221112022120210
430033113313233112
5203404030132000
610012052110250
7643456051626
oct141727675726
936827468523
1013142817750
115634861557
122669605386
131315b5774a
148c9704886
1551dc63350
hex30f5f7bd6

13142817750 has 64 divisors (see below), whose sum is σ = 34531061760. Its totient is φ = 3320287200.

The previous prime is 13142817749. The next prime is 13142817761. The reversal of 13142817750 is 5771824131.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13142817699 and 13142817708.

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 31 ways as a sum of consecutive naturals, for example, 446902 + ... + 475401.

It is an arithmetic number, because the mean of its divisors is an integer number (539547840).

Almost surely, 213142817750 is an apocalyptic number.

13142817750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13142817750 is an abundant number, since it is smaller than the sum of its proper divisors (21388244010).

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

13142817750 is a wasteful number, since it uses less digits than its factorization.

13142817750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922342 (or 922332 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 13142817750 in words is "thirteen billion, one hundred forty-two million, eight hundred seventeen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 125 150 190 250 285 375 475 570 750 950 1425 2375 2850 4750 7125 14250 922303 1844606 2766909 4611515 5533818 9223030 13834545 17523757 23057575 27669090 35047514 46115150 52571271 69172725 87618785 105142542 115287875 138345450 175237570 230575750 262856355 345863625 438093925 525712710 691727250 876187850 1314281775 2190469625 2628563550 4380939250 6571408875 13142817750