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144100332 = 2232191911103
BaseRepresentation
bin10001001011011…
…00101111101100
3101001011001111100
420211230233230
5243342202312
622144323100
73366555405
oct1045545754
9331131440
10144100332
1174382792
1240313490
1323b1478c
14151d09ac
15c9b65dc
hex896cbec

144100332 has 72 divisors (see below), whose sum is σ = 385781760. Its totient is φ = 45226080.

The previous prime is 144100309. The next prime is 144100337. The reversal of 144100332 is 233001441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144100337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130093 + ... + 131195.

It is an arithmetic number, because the mean of its divisors is an integer number (5358080).

Almost surely, 2144100332 is an apocalyptic number.

144100332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192890880).

144100332 is an abundant number, since it is smaller than the sum of its proper divisors (241681428).

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

144100332 is a wasteful number, since it uses less digits than its factorization.

144100332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 144100332 is about 12004.1797720627. The cubic root of 144100332 is about 524.2699840179.

Adding to 144100332 its reverse (233001441), we get a palindrome (377101773).

The spelling of 144100332 in words is "one hundred forty-four million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 191 228 342 382 573 684 764 1103 1146 1719 2206 2292 3309 3438 3629 4412 6618 6876 7258 9927 10887 13236 14516 19854 20957 21774 32661 39708 41914 43548 62871 65322 83828 125742 130644 188613 210673 251484 377226 421346 632019 754452 842692 1264038 1896057 2528076 3792114 4002787 7584228 8005574 12008361 16011148 24016722 36025083 48033444 72050166 144100332