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116501249040 = 243511210737493
BaseRepresentation
bin110110010000000000…
…0111111110000010000
3102010201011122122110120
41230200000333300100
53402043304432130
6125304150030240
711263003164201
oct1544000776020
9363634578416
10116501249040
1145453a10800
121a6b4048380
13aca8397427
1458d27d15a8
15306cc43910
hex1b2003fc10

116501249040 has 240 divisors, whose sum is σ = 400691479104. Its totient is φ = 27978030080.

The previous prime is 116501248993. The next prime is 116501249041. The reversal of 116501249040 is 40942105611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 116501248992 and 116501249010.

It is not an unprimeable number, because it can be changed into a prime (116501249041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3088534 + ... + 3126026.

Almost surely, 2116501249040 is an apocalyptic number.

116501249040 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 116501249040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200345739552).

116501249040 is an abundant number, since it is smaller than the sum of its proper divisors (284190230064).

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

116501249040 is a wasteful number, since it uses less digits than its factorization.

116501249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37638 (or 37621 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 116501249040 in words is "one hundred sixteen billion, five hundred one million, two hundred forty-nine thousand, forty".