Search a number
-
+
114660370373760 = 2732531417322939
BaseRepresentation
bin11010000100100001110010…
…101001010101110010000000
3120000222102110100121021120100
4122010201302221111302000
5110012043414303430020
61043510125202442400
733102636603216411
oct3204416251256200
9500872410537510
10114660370373760
113359720a982732
1210a39b46063400
134bc9571122033
14204583d269808
15d3c8a554da90
hex684872a55c80

114660370373760 has 1152 divisors, whose sum is σ = 424635549811200. Its totient is φ = 28462930329600.

The previous prime is 114660370373741. The next prime is 114660370373779. The reversal of 114660370373760 is 67373073066411.

114660370373760 is a `hidden beast` number, since 1 + 146 + 6 + 0 + 3 + 70 + 373 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (114660370373741) and next prime (114660370373779).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 114660370373697 and 114660370373706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39013394371 + ... + 39013397309.

It is an arithmetic number, because the mean of its divisors is an integer number (368607248100).

Almost surely, 2114660370373760 is an apocalyptic number.

114660370373760 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 114660370373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212317774905600).

114660370373760 is an abundant number, since it is smaller than the sum of its proper divisors (309975179437440).

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

114660370373760 is a wasteful number, since it uses less digits than its factorization.

114660370373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 114660370373760 in words is "one hundred fourteen trillion, six hundred sixty billion, three hundred seventy million, three hundred seventy-three thousand, seven hundred sixty".