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13924198080 = 263451331243
BaseRepresentation
bin11001111011111001…
…00110011011000000
31022221101211112220000
430331330212123000
5212004043314310
610221403520000
71002024505452
oct147574463300
938841745800
1013924198080
1159a5935121
122847229000
13140b9bb580
149613c42d2
1556765d4c0
hex33df266c0

13924198080 has 840 divisors, whose sum is σ = 56398856976. Its totient is φ = 3239792640.

The previous prime is 13924198031. The next prime is 13924198087. The reversal of 13924198080 is 8089142931.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13924198087) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 323818539 + ... + 323818581.

Almost surely, 213924198080 is an apocalyptic number.

13924198080 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 13924198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28199428488).

13924198080 is an abundant number, since it is smaller than the sum of its proper divisors (42474658896).

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

13924198080 is a wasteful number, since it uses less digits than its factorization.

13924198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13924198080 in words is "thirteen billion, nine hundred twenty-four million, one hundred ninety-eight thousand, eighty".