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144132141134142 = 23277043162417419
BaseRepresentation
bin100000110001011001100001…
…000100101011000100111110
3200220022220020201210101000200
4200301121201010223010332
5122342430111112243032
61230313220324104330
742234126551304150
oct4061314104530476
9626286221711020
10144132141134142
1141a1a109175797
12141b99365350a6
1362567aab71625
14278406620cad0
15119e31b29a47c
hex83166112b13e

144132141134142 has 48 divisors (see below), whose sum is σ = 356949311621760. Its totient is φ = 41174764472016.

The previous prime is 144132141134071. The next prime is 144132141134171. The reversal of 144132141134142 is 241431141231441.

144132141134142 is a `hidden beast` number, since 1 + 4 + 4 + 13 + 214 + 1 + 13 + 414 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144132141134097 and 144132141134106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80321292 + ... + 82096127.

It is an arithmetic number, because the mean of its divisors is an integer number (7436443992120).

Almost surely, 2144132141134142 is an apocalyptic number.

144132141134142 is an abundant number, since it is smaller than the sum of its proper divisors (212817170487618).

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

144132141134142 is a wasteful number, since it uses less digits than its factorization.

144132141134142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162424477 (or 162424474 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 144132141134142 its reverse (241431141231441), we get a palindrome (385563282365583).

The spelling of 144132141134142 in words is "one hundred forty-four trillion, one hundred thirty-two billion, one hundred forty-one million, one hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 7043 14086 21129 42258 49301 63387 98602 126774 147903 295806 443709 887418 162417419 324834838 487252257 974504514 1136921933 1461756771 2273843866 2923513542 3410765799 6821531598 10232297397 20464594794 1143905882017 2287811764034 3431717646051 6863435292102 8007341174119 10295152938153 16014682348238 20590305876306 24022023522357 48044047044714 72066070567071 144132141134142