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116361930240 = 2936562351
BaseRepresentation
bin110110001011110110…
…1100010011000000000
3102010100110111112000000
41230113231202120000
53401302123231430
6125242252000000
711256362042013
oct1542755423000
9363313445000
10116361930240
11453923044a6
121a675460000
13ac8556817a
1458bc0c737a
1530608c3e60
hex1b17b62600

116361930240 has 280 divisors, whose sum is σ = 418309217568. Its totient is φ = 31029350400.

The previous prime is 116361930233. The next prime is 116361930241. The reversal of 116361930240 is 42039163611.

116361930240 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 619 + 30 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116361930195 and 116361930204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116361930241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1835065 + ... + 1897415.

Almost surely, 2116361930240 is an apocalyptic number.

116361930240 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 116361930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209154608784).

116361930240 is an abundant number, since it is smaller than the sum of its proper divisors (301947287328).

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

116361930240 is an frugal number, since it uses more digits than its factorization.

116361930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62392 (or 62361 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 116361930240 in words is "one hundred sixteen billion, three hundred sixty-one million, nine hundred thirty thousand, two hundred forty".