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144105372 = 22332774817
BaseRepresentation
bin10001001011011…
…01111110011100
3101001011022102000
420211231332130
5243342332442
622144402300
73366606165
oct1045557634
9331138360
10144105372
1174386554
1240316390
1323b16b68
14151d276c
15c9b7d4c
hex896df9c

144105372 has 48 divisors (see below), whose sum is σ = 375033120. Its totient is φ = 47851776.

The previous prime is 144105359. The next prime is 144105389. The reversal of 144105372 is 273501441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27508 + ... + 32324.

It is an arithmetic number, because the mean of its divisors is an integer number (7813190).

Almost surely, 2144105372 is an apocalyptic number.

144105372 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 144105372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187516560).

144105372 is an abundant number, since it is smaller than the sum of its proper divisors (230927748).

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

144105372 is a wasteful number, since it uses less digits than its factorization.

144105372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5099 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144105372 is about 12004.3896971066. The cubic root of 144105372 is about 524.2760961711.

The spelling of 144105372 in words is "one hundred forty-four million, one hundred five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 277 554 831 1108 1662 2493 3324 4817 4986 7479 9634 9972 14451 14958 19268 28902 29916 43353 57804 86706 130059 173412 260118 520236 1334309 2668618 4002927 5337236 8005854 12008781 16011708 24017562 36026343 48035124 72052686 144105372