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144700625808 = 24322934650533
BaseRepresentation
bin1000011011000011010…
…1000101001110010000
3111211111102202102010100
42012300311011032100
54332321330011213
6150250300332400
713311550011504
oct2066065051620
9454442672110
10144700625808
1156404804962
1224063b44100
13108506b189b
147009a40304
153b6d73e773
hex21b0d45390

144700625808 has 60 divisors (see below), whose sum is σ = 418924956060. Its totient is φ = 46570315008.

The previous prime is 144700625807. The next prime is 144700625897. The reversal of 144700625808 is 808526007441.

144700625808 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 0 + 0 + 62 + 580 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117531037584 + 27169588224 = 342828^2 + 164832^2 .

It is a super-2 number, since 2×1447006258082 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (144700625807) 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, 17321091 + ... + 17329442.

It is an arithmetic number, because the mean of its divisors is an integer number (6982082601).

Almost surely, 2144700625808 is an apocalyptic number.

144700625808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144700625808 is an abundant number, since it is smaller than the sum of its proper divisors (274224330252).

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

144700625808 is a wasteful number, since it uses less digits than its factorization.

144700625808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34650576 (or 34650567 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 144700625808 in words is "one hundred forty-four billion, seven hundred million, six hundred twenty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 34650533 69301066 103951599 138602132 207903198 277204264 311854797 415806396 554408528 623709594 831612792 1004865457 1247419188 1663225584 2009730914 2494838376 3014596371 4019461828 4989676752 6029192742 8038923656 9043789113 12058385484 16077847312 18087578226 24116770968 36175156452 48233541936 72350312904 144700625808