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13991497500240 = 24345131723118539
BaseRepresentation
bin1100101110011010011000…
…1111010000011001010000
31211112120111111222012210000
43023212212033100121100
53313214041330001430
645431334421010000
72642565231322401
oct313464617203120
954476444865700
1013991497500240
114504840643787
12169b790253900
137a6514591cc0
1436529915b9a8
15193e3e743e60
hexcb9a63d0650

13991497500240 has 1200 divisors, whose sum is σ = 57388441904640. Its totient is φ = 3136736378880.

The previous prime is 13991497500217. The next prime is 13991497500241. The reversal of 13991497500240 is 4200579419931.

13991497500240 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 1 + 4 + 97 + 500 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13991497500241) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 754696891 + ... + 754715429.

Almost surely, 213991497500240 is an apocalyptic number.

13991497500240 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 13991497500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28694220952320).

13991497500240 is an abundant number, since it is smaller than the sum of its proper divisors (43396944404400).

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

13991497500240 is a wasteful number, since it uses less digits than its factorization.

13991497500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18642 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 13991497500240 in words is "thirteen trillion, nine hundred ninety-one billion, four hundred ninety-seven million, five hundred thousand, two hundred forty".