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144046672 = 24721116703
BaseRepresentation
bin10001001010111…
…11101001010000
3101001001022212221
420211133221100
5243333443142
622143230424
73366243100
oct1045375120
9331038787
10144046672
1174346440
12402a8414
1323ac6223
14151b9200
15c9a5767
hex895fa50

144046672 has 60 divisors (see below), whose sum is σ = 354191616. Its totient is φ = 56118720.

The previous prime is 144046667. The next prime is 144046703. The reversal of 144046672 is 276640441.

144046672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273 + ... + 16975.

Almost surely, 2144046672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144046672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177095808).

144046672 is an abundant number, since it is smaller than the sum of its proper divisors (210144944).

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

144046672 is a wasteful number, since it uses less digits than its factorization.

144046672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736 (or 16723 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 144046672 is about 12001.9445091202. The cubic root of 144046672 is about 524.2049001520.

The spelling of 144046672 in words is "one hundred forty-four million, forty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 4312 8624 16703 33406 66812 116921 133624 183733 233842 267248 367466 467684 734932 818447 935368 1286131 1469864 1636894 1870736 2572262 2939728 3273788 5144524 6547576 9002917 10289048 13095152 18005834 20578096 36011668 72023336 144046672