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144051024 = 243132310037
BaseRepresentation
bin10001001011000…
…00101101010000
3101001001112212010
420211200231100
5243334113044
622143302520
73366261555
oct1045405520
9331045763
10144051024
1174349737
12402aaa40
1323ac81c0
14151baa2c
15c9a6bb9
hex8960b50

144051024 has 80 divisors (see below), whose sum is σ = 418223232. Its totient is φ = 42392064.

The previous prime is 144051023. The next prime is 144051029. The reversal of 144051024 is 420150441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144051023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9334 + ... + 19370.

Almost surely, 2144051024 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 144051024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209111616).

144051024 is an abundant number, since it is smaller than the sum of its proper divisors (274172208).

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

144051024 is a wasteful number, since it uses less digits than its factorization.

144051024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10084 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 144051024 is about 12002.1258117052. The cubic root of 144051024 is about 524.2101792668.

The spelling of 144051024 in words is "one hundred forty-four million, fifty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 10037 14352 20074 30111 40148 60222 80296 120444 130481 160592 230851 240888 260962 391443 461702 481776 521924 692553 782886 923404 1043848 1385106 1565772 1846808 2087696 2770212 3001063 3131544 3693616 5540424 6002126 6263088 9003189 11080848 12004252 18006378 24008504 36012756 48017008 72025512 144051024