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116420265144 = 233419311911597
BaseRepresentation
bin110110001101100110…
…0000100010010111000
3102010111112021020110000
41230123030010102320
53401412041441034
6125252134153000
711261000632431
oct1543314042270
9363445236400
10116420265144
1145412228367
121a690ab2760
13ac94681271
1458c5b50488
153065a98599
hex1b1b3044b8

116420265144 has 320 divisors, whose sum is σ = 356397465600. Its totient is φ = 35369913600.

The previous prime is 116420265139. The next prime is 116420265167. The reversal of 116420265144 is 441562024611.

116420265144 is a `hidden beast` number, since 1 + 1 + 642 + 0 + 2 + 6 + 5 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×1164202651442 (a number of 23 digits) contains 22 as substring.

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 = 116420265099 and 116420265108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72898554 + ... + 72900150.

It is an arithmetic number, because the mean of its divisors is an integer number (1113742080).

Almost surely, 2116420265144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116420265144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178198732800).

116420265144 is an abundant number, since it is smaller than the sum of its proper divisors (239977200456).

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

116420265144 is a wasteful number, since it uses less digits than its factorization.

116420265144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 116420265144 its reverse (441562024611), we get a palindrome (557982289755).

The spelling of 116420265144 in words is "one hundred sixteen billion, four hundred twenty million, two hundred sixty-five thousand, one hundred forty-four".