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13985505840 = 243558272941
BaseRepresentation
bin11010000011001100…
…11110001000110000
31100002200012022022210
431001212132020300
5212120242141330
610231433532120
71003400560335
oct150146361060
940080168283
1013985505840
115a274a9599
122863874040
13141b605857
149695c298c
1556cc1d8b0
hex34199e230

13985505840 has 40 divisors (see below), whose sum is σ = 43355068848. Its totient is φ = 3729468160.

The previous prime is 13985505817. The next prime is 13985505847. The reversal of 13985505840 is 4850558931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13985505840.

It is not an unprimeable number, because it can be changed into a prime (13985505847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29136231 + ... + 29136710.

Almost surely, 213985505840 is an apocalyptic number.

13985505840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13985505840 is an abundant number, since it is smaller than the sum of its proper divisors (29369563008).

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

13985505840 is a wasteful number, since it uses less digits than its factorization.

13985505840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58272957 (or 58272951 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 13985505840 in words is "thirteen billion, nine hundred eighty-five million, five hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 58272941 116545882 174818823 233091764 291364705 349637646 466183528 582729410 699275292 874094115 932367056 1165458820 1398550584 1748188230 2330917640 2797101168 3496376460 4661835280 6992752920 13985505840