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116194401344 = 2677173163307
BaseRepresentation
bin110110000110110111…
…0011101110001000000
3102002220210021011120002
41230031232131301000
53400431231320334
6125213505135132
711252256054410
oct1541556356100
9362823234502
10116194401344
114530678a56a
121a62932a4a8
13ac5993c848
1458a3b58640
153050d30b7e
hex1b0db9dc40

116194401344 has 224 divisors, whose sum is σ = 273433982976. Its totient is φ = 47969832960.

The previous prime is 116194401331. The next prime is 116194401359. The reversal of 116194401344 is 443104491611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1161944013442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116194401298 and 116194401307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378483239 + ... + 378483545.

It is an arithmetic number, because the mean of its divisors is an integer number (1220687424).

Almost surely, 2116194401344 is an apocalyptic number.

116194401344 is a gapful number since it is divisible by the number (14) 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 116194401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136716991488).

116194401344 is an abundant number, since it is smaller than the sum of its proper divisors (157239581632).

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

116194401344 is a wasteful number, since it uses less digits than its factorization.

116194401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

Adding to 116194401344 its reverse (443104491611), we get a palindrome (559298892955).

The spelling of 116194401344 in words is "one hundred sixteen billion, one hundred ninety-four million, four hundred one thousand, three hundred forty-four".