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144133243332 = 22313271071619
BaseRepresentation
bin1000011000111100000…
…0101100000111000100
3111210000220010101200120
42012033000230013010
54330141102241312
6150114111341540
713261520232261
oct2061700540704
9453026111616
10144133243332
1156143505021
1223b25b218b0
131078cc96500
146d94548268
153b38a1628c
hex218f02c1c4

144133243332 has 36 divisors (see below), whose sum is σ = 364170980880. Its totient is φ = 44348689632.

The previous prime is 144133243307. The next prime is 144133243339. The reversal of 144133243332 is 233342331441.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 144133243293 and 144133243302.

It is not an unprimeable number, because it can be changed into a prime (144133243339) 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, 35533782 + ... + 35537837.

It is an arithmetic number, because the mean of its divisors is an integer number (10115860580).

Almost surely, 2144133243332 is an apocalyptic number.

144133243332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144133243332 is an abundant number, since it is smaller than the sum of its proper divisors (220037737548).

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

144133243332 is a wasteful number, since it uses less digits than its factorization.

144133243332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71071652 (or 71071637 counting only the distinct ones).

The product of its digits is 62208, while the sum is 33.

Adding to 144133243332 its reverse (233342331441), we get a palindrome (377475574773).

The spelling of 144133243332 in words is "one hundred forty-four billion, one hundred thirty-three million, two hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 71071619 142143238 213214857 284286476 426429714 852859428 923931047 1847862094 2771793141 3695724188 5543586282 11087172564 12011103611 24022207222 36033310833 48044414444 72066621666 144133243332