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14102699520 = 2935713171187
BaseRepresentation
bin11010010001001011…
…00001111000000000
31100101211201100211110
431020211201320000
5212340242341040
610251221443320
71006322653020
oct151045417000
940354640743
1014102699520
115a87673978
122896b70540
131439989320
1497adaba80
1557816c980
hex348961e00

14102699520 has 640 divisors, whose sum is σ = 58802236416. Its totient is φ = 2798125056.

The previous prime is 14102699519. The next prime is 14102699543. The reversal of 14102699520 is 2599620141.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×141026995202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11880367 + ... + 11881553.

Almost surely, 214102699520 is an apocalyptic number.

14102699520 is a gapful number since it is divisible by the number (10) 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 14102699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29401118208).

14102699520 is an abundant number, since it is smaller than the sum of its proper divisors (44699536896).

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

14102699520 is a wasteful number, since it uses less digits than its factorization.

14102699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 14102699520 in words is "fourteen billion, one hundred two million, six hundred ninety-nine thousand, five hundred twenty".