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144429072 = 243103131223
BaseRepresentation
bin10001001101111…
…01000000010000
3101001202202102220
420212331000100
5243433212242
622155341040
73402425004
oct1046750020
9331682386
10144429072
1174587777
1240451780
1323bcb2b8
1415278704
15ca2dbec
hex89bd010

144429072 has 80 divisors (see below), whose sum is σ = 381308928. Its totient is φ = 47099520.

The previous prime is 144429067. The next prime is 144429097. The reversal of 144429072 is 270924441.

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, 647553 + ... + 647775.

Almost surely, 2144429072 is an apocalyptic number.

144429072 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 144429072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654464).

144429072 is an abundant number, since it is smaller than the sum of its proper divisors (236879856).

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

144429072 is a wasteful number, since it uses less digits than its factorization.

144429072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 144429072 is about 12017.8647021840. The cubic root of 144429072 is about 524.6683583471.

The spelling of 144429072 in words is "one hundred forty-four million, four hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 131 206 223 262 309 393 412 446 524 618 669 786 824 892 1048 1236 1338 1572 1648 1784 2096 2472 2676 3144 3568 4944 5352 6288 10704 13493 22969 26986 29213 40479 45938 53972 58426 68907 80958 87639 91876 107944 116852 137814 161916 175278 183752 215888 233704 275628 323832 350556 367504 467408 551256 647664 701112 1102512 1402224 3008939 6017878 9026817 12035756 18053634 24071512 36107268 48143024 72214536 144429072