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144431134440 = 23359029133303
BaseRepresentation
bin1000011010000011000…
…1000011011011101000
3111210210122122211110120
42012200301003123220
54331243332300230
6150203432243240
713302065246415
oct2064061033350
9453718584416
10144431134440
115628667901a
1223ba9840520
1310809906438
146dc1d2d10c
153b54c5a310
hex21a0c436e8

144431134440 has 64 divisors (see below), whose sum is σ = 433344643200. Its totient is φ = 38510414592.

The previous prime is 144431134417. The next prime is 144431134447. The reversal of 144431134440 is 44431134441.

144431134440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444311344402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144431134447) 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, 1016829 + ... + 1150131.

It is an arithmetic number, because the mean of its divisors is an integer number (6771010050).

Almost surely, 2144431134440 is an apocalyptic number.

144431134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144431134440 is an abundant number, since it is smaller than the sum of its proper divisors (288913508760).

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

144431134440 is a wasteful number, since it uses less digits than its factorization.

144431134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142346 (or 142342 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144431134440 its reverse (44431134441), we get a palindrome (188862268881).

Subtracting from 144431134440 its reverse (44431134441), we obtain a palindrome (99999999999).

The spelling of 144431134440 in words is "one hundred forty-four billion, four hundred thirty-one million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9029 18058 27087 36116 45145 54174 72232 90290 108348 133303 135435 180580 216696 266606 270870 361160 399909 533212 541740 666515 799818 1066424 1083480 1333030 1599636 1999545 2666060 3199272 3999090 5332120 7998180 15996360 1203592787 2407185574 3610778361 4814371148 6017963935 7221556722 9628742296 12035927870 14443113444 18053891805 24071855740 28886226888 36107783610 48143711480 72215567220 144431134440