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144451060 = 22513242737
BaseRepresentation
bin10001001110000…
…10010111110100
3101001210212121021
420213002113310
5243434413220
622200030524
73402546055
oct1047022764
9331725537
10144451060
11745a2246
1240462444
1323c08300
141528272c
15ca354aa
hex89c25f4

144451060 has 36 divisors (see below), whose sum is σ = 328484268. Its totient is φ = 53334528.

The previous prime is 144451049. The next prime is 144451067. The reversal of 144451060 is 60154441.

It can be written as a sum of positive squares in 6 ways, for example, as 16353936 + 128097124 = 4044^2 + 11318^2 .

It is a super-2 number, since 2×1444510602 = 41732217470247200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144451067) by changing a digit.

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, 17989 + ... + 24748.

It is an arithmetic number, because the mean of its divisors is an integer number (9124563).

Almost surely, 2144451060 is an apocalyptic number.

144451060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144451060 is an abundant number, since it is smaller than the sum of its proper divisors (184033208).

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

144451060 is a wasteful number, since it uses less digits than its factorization.

144451060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42772 (or 42757 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 144451060 is about 12018.7794721428. The cubic root of 144451060 is about 524.6949823093.

The spelling of 144451060 in words is "one hundred forty-four million, four hundred fifty-one thousand, sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 42737 85474 170948 213685 427370 555581 854740 1111162 2222324 2777905 5555810 7222553 11111620 14445106 28890212 36112765 72225530 144451060