Search a number
-
+
116147062941000 = 2335371317434091423
BaseRepresentation
bin11010011010001010011000…
…011011011010010101001000
3120020020112212111221210100220
4122122022120123122111020
5110210423141103103000
61051005120224030040
733315230331433050
oct3232123033322510
9506215774853326
10116147062941000
113400a76909a903
121103a0b4462320
134ca680c565970
1420977953c0560
15d663b94ba1a0
hex69a2986da548

116147062941000 has 2048 divisors, whose sum is σ = 484744509849600. Its totient is φ = 22456988467200.

The previous prime is 116147062940903. The next prime is 116147062941023. The reversal of 116147062941000 is 149260741611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 81621266289 + ... + 81621267711.

It is an arithmetic number, because the mean of its divisors is an integer number (236691655200).

Almost surely, 2116147062941000 is an apocalyptic number.

116147062941000 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 116147062941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242372254924800).

116147062941000 is an abundant number, since it is smaller than the sum of its proper divisors (368597446908600).

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

116147062941000 is a wasteful number, since it uses less digits than its factorization.

116147062941000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 116147062941000 in words is "one hundred sixteen trillion, one hundred forty-seven billion, sixty-two million, nine hundred forty-one thousand".