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14149086960 = 2435311901759
BaseRepresentation
bin11010010110101100…
…11110111011110000
31100112002000002102210
431023112132323300
5212434131240320
610300000012120
71010425153251
oct151326367360
940462002383
1014149086960
1160008774a8
1228aa601040
13144647b308
14983204b28
1557c2820e0
hex34b59eef0

14149086960 has 80 divisors (see below), whose sum is σ = 45277102080. Its totient is φ = 3651375360.

The previous prime is 14149086949. The next prime is 14149086977. The reversal of 14149086960 is 6968094141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943440 + ... + 958319.

It is an arithmetic number, because the mean of its divisors is an integer number (565963776).

Almost surely, 214149086960 is an apocalyptic number.

14149086960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14149086960 is an abundant number, since it is smaller than the sum of its proper divisors (31128015120).

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

14149086960 is a wasteful number, since it uses less digits than its factorization.

14149086960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901806 (or 1901800 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 14149086960 in words is "fourteen billion, one hundred forty-nine million, eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 1901759 3803518 5705277 7607036 9508795 11410554 15214072 19017590 22821108 28526385 30428144 38035180 45642216 57052770 58954529 76070360 91284432 114105540 117909058 152140720 176863587 228211080 235818116 294772645 353727174 456422160 471636232 589545290 707454348 884317935 943272464 1179090580 1414908696 1768635870 2358181160 2829817392 3537271740 4716362320 7074543480 14149086960