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144507072 = 2631744273
BaseRepresentation
bin10001001110100…
…00000011000000
3101001220201102210
420213100003000
5243443211242
622201142120
73403201263
oct1047200300
9331821383
10144507072
1174630336
124048a940
1323c27958
1415298cda
15ca46d9c
hex89d00c0

144507072 has 56 divisors (see below), whose sum is σ = 404841456. Its totient is φ = 45334528.

The previous prime is 144507071. The next prime is 144507101. The reversal of 144507072 is 270705441.

It is not an unprimeable number, because it can be changed into a prime (144507071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18873 + ... + 25400.

Almost surely, 2144507072 is an apocalyptic number.

144507072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144507072 is an abundant number, since it is smaller than the sum of its proper divisors (260334384).

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

144507072 is a wasteful number, since it uses less digits than its factorization.

144507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44305 (or 44295 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 144507072 is about 12021.1094329933. The cubic root of 144507072 is about 524.7627917056.

The spelling of 144507072 in words is "one hundred forty-four million, five hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 44273 88546 132819 177092 265638 354184 531276 708368 752641 1062552 1416736 1505282 2125104 2257923 2833472 3010564 4250208 4515846 6021128 8500416 9031692 12042256 18063384 24084512 36126768 48169024 72253536 144507072