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144141312144 = 2438813408563
BaseRepresentation
bin1000011000111101111…
…1011110000010010000
3111210001110022100000110
42012033133132002100
54330200133442034
6150115000321320
713261645636434
oct2061737360220
9453043270013
10144141312144
1156148016265
1223b28773240
131079186005b
146d956489c4
153b395abde9
hex218f7de090

144141312144 has 40 divisors (see below), whose sum is σ = 372787827552. Its totient is φ = 47992552960.

The previous prime is 144141312113. The next prime is 144141312197. The reversal of 144141312144 is 441213141441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1661994 + ... + 1746569.

Almost surely, 2144141312144 is an apocalyptic number.

It is an amenable number.

144141312144 is an abundant number, since it is smaller than the sum of its proper divisors (228646515408).

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

144141312144 is a wasteful number, since it uses less digits than its factorization.

144141312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409455 (or 3409449 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

Adding to 144141312144 its reverse (441213141441), we get a palindrome (585354453585).

The spelling of 144141312144 in words is "one hundred forty-four billion, one hundred forty-one million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 881 1762 2643 3524 5286 7048 10572 14096 21144 42288 3408563 6817126 10225689 13634252 20451378 27268504 40902756 54537008 81805512 163611024 3002944003 6005888006 9008832009 12011776012 18017664018 24023552024 36035328036 48047104048 72070656072 144141312144