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144300433102032 = 2433006259022959
BaseRepresentation
bin100000110011110110010000…
…000011100101010011010000
3200220220222122021211010120110
4200303312100003211103100
5122403204241333231112
61230522412005041320
742252235152364644
oct4063662003452320
9626828567733513
10144300433102032
1141a84519644079
12142264830b6240
13626961ac9920c
14278c26d0acc24
1511a38baba713c
hex833d900e54d0

144300433102032 has 20 divisors (see below), whose sum is σ = 372776118847040. Its totient is φ = 48100144367328.

The previous prime is 144300433102027. The next prime is 144300433102081. The reversal of 144300433102032 is 230201334003441.

It is a happy number.

It is a super-2 number, since 2×1443004331020322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1503129511432 + ... + 1503129511527.

It is an arithmetic number, because the mean of its divisors is an integer number (18638805942352).

Almost surely, 2144300433102032 is an apocalyptic number.

144300433102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144300433102032 is an abundant number, since it is smaller than the sum of its proper divisors (228475685745008).

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

144300433102032 is a wasteful number, since it uses less digits than its factorization.

144300433102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006259022970 (or 3006259022964 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 144300433102032 its reverse (230201334003441), we get a palindrome (374501767105473).

The spelling of 144300433102032 in words is "one hundred forty-four trillion, three hundred billion, four hundred thirty-three million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 3006259022959 6012518045918 9018777068877 12025036091836 18037554137754 24050072183672 36075108275508 48100144367344 72150216551016 144300433102032