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144432040 = 23523315497
BaseRepresentation
bin10001001101111…
…01101110101000
3101001202220111211
420212331232220
5243433311130
622155402504
73402436444
oct1046755650
9331686454
10144432040
1174589a25
1240453434
1323bcc75c
1415279824
15ca2ea2a
hex89bdba8

144432040 has 32 divisors (see below), whose sum is σ = 326387880. Its totient is φ = 57521152.

The previous prime is 144432037. The next prime is 144432047. The reversal of 144432040 is 40234441.

It can be written as a sum of positive squares in 4 ways, for example, as 130279396 + 14152644 = 11414^2 + 3762^2 .

It is a super-2 number, since 2×1444320402 = 41721228357123200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144432047) 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, 1572 + ... + 17068.

Almost surely, 2144432040 is an apocalyptic number.

144432040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144432040 is an abundant number, since it is smaller than the sum of its proper divisors (181955840).

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

144432040 is a wasteful number, since it uses less digits than its factorization.

144432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15741 (or 15737 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144432040 is about 12017.9881843843. The cubic root of 144432040 is about 524.6719522796.

Adding to 144432040 its reverse (40234441), we get a palindrome (184666481).

The spelling of 144432040 in words is "one hundred forty-four million, four hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 233 466 932 1165 1864 2330 4660 9320 15497 30994 61988 77485 123976 154970 309940 619880 3610801 7221602 14443204 18054005 28886408 36108010 72216020 144432040