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114204016660 = 22529457430861
BaseRepresentation
bin110101001011100010…
…1110000000000010100
3101220210002000011001211
41222113011300000110
53332342212013120
6124244204231204
711152040060536
oct1522705600024
9356702004054
10114204016660
1144485210048
121a17283b504
13aa00480c26
145755683856
152e8621c25a
hex1a97170014

114204016660 has 48 divisors (see below), whose sum is σ = 248641842960. Its totient is φ = 44009763840.

The previous prime is 114204016649. The next prime is 114204016691. The reversal of 114204016660 is 66610402411.

It can be written as a sum of positive squares in 8 ways, for example, as 1263660304 + 112940356356 = 35548^2 + 336066^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49630 + ... + 480490.

It is an arithmetic number, because the mean of its divisors is an integer number (5180038395).

Almost surely, 2114204016660 is an apocalyptic number.

114204016660 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 114204016660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124320921480).

114204016660 is an abundant number, since it is smaller than the sum of its proper divisors (134437826300).

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

114204016660 is a wasteful number, since it uses less digits than its factorization.

114204016660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431356 (or 431354 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 114204016660 in words is "one hundred fourteen billion, two hundred four million, sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 457 580 914 1828 2285 4570 9140 13253 26506 53012 66265 132530 265060 430861 861722 1723444 2154305 4308610 8617220 12494969 24989938 49979876 62474845 124949690 196903477 249899380 393806954 787613908 984517385 1969034770 3938069540 5710200833 11420401666 22840803332 28551004165 57102008330 114204016660