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114512400111096 = 233213122342307811
BaseRepresentation
bin11010000010010111111110…
…111011100101010111111000
3120000110021112001110002212200
4122002113332323211113320
5110002132343412023341
61043314134222310200
733056151011562621
oct3202277673452770
9500407461402780
10114512400111096
113353a488592259
1210a1532b128360
134bb861c22c4b0
14203c6032b4a48
15d38ae4c57db6
hex6825feee55f8

114512400111096 has 48 divisors (see below), whose sum is σ = 333994500326760. Its totient is φ = 35234584649280.

The previous prime is 114512400111061. The next prime is 114512400111097. The reversal of 114512400111096 is 690111004215411.

114512400111096 is a `hidden beast` number, since 1 + 1 + 4 + 51 + 2 + 400 + 1 + 110 + 96 = 666.

It is a super-2 number, since 2×1145124001110962 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114512400111096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114512400111097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61171152970 + ... + 61171154841.

Almost surely, 2114512400111096 is an apocalyptic number.

It is an amenable number.

114512400111096 is an abundant number, since it is smaller than the sum of its proper divisors (219482100215664).

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

114512400111096 is a wasteful number, since it uses less digits than its factorization.

114512400111096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122342307836 (or 122342307829 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 114512400111096 in words is "one hundred fourteen trillion, five hundred twelve billion, four hundred million, one hundred eleven thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 122342307811 244684615622 367026923433 489369231244 734053846866 978738462488 1101080770299 1468107693732 1590450001543 2202161540598 2936215387464 3180900003086 4404323081196 4771350004629 6361800006172 8808646162392 9542700009258 12723600012344 14314050013887 19085400018516 28628100027774 38170800037032 57256200055548 114512400111096