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114221424132 = 22338911883211
BaseRepresentation
bin110101001100000100…
…0001001111000000100
3101220211021202112122000
41222120020021320010
53332411141033012
6124250025305300
711152341041304
oct1523010117004
9356737675560
10114221424132
114449401a592
121a178635230
13aa03c672ca
145757ad5604
152e87a09ddc
hex1a98209e04

114221424132 has 48 divisors (see below), whose sum is σ = 299456942400. Its totient is φ = 37646009280.

The previous prime is 114221424103. The next prime is 114221424137. The reversal of 114221424132 is 231424122411.

114221424132 is a `hidden beast` number, since 1 + 1 + 4 + 221 + 424 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114221424096 and 114221424105.

It is not an unprimeable number, because it can be changed into a prime (114221424137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5931994 + ... + 5951217.

It is an arithmetic number, because the mean of its divisors is an integer number (6238686300).

Almost surely, 2114221424132 is an apocalyptic number.

114221424132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114221424132 is an abundant number, since it is smaller than the sum of its proper divisors (185235518268).

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

114221424132 is a wasteful number, since it uses less digits than its factorization.

114221424132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11883313 (or 11883305 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 114221424132 its reverse (231424122411), we get a palindrome (345645546543).

The spelling of 114221424132 in words is "one hundred fourteen billion, two hundred twenty-one million, four hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 4806 9612 11883211 23766422 35649633 47532844 71299266 106948899 142598532 213897798 320846697 427795596 641693394 1057605779 1283386788 2115211558 3172817337 4230423116 6345634674 9518452011 12691269348 19036904022 28555356033 38073808044 57110712066 114221424132