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144133464 = 23397101613
BaseRepresentation
bin10001001011101…
…00110101011000
3101001012201221110
420211310311120
5243344232324
622145140320
73400054116
oct1045646530
9331181843
10144133464
11743a5672
124032a6a0
1323b26897
14151dcab6
15c9c1329
hex8974d58

144133464 has 64 divisors (see below), whose sum is σ = 368252640. Its totient is φ = 47001600.

The previous prime is 144133459. The next prime is 144133469. The reversal of 144133464 is 464331441.

It is an interprime number because it is at equal distance from previous prime (144133459) and next prime (144133469).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144133469) 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 15 ways as a sum of consecutive naturals, for example, 234822 + ... + 235434.

Almost surely, 2144133464 is an apocalyptic number.

It is an amenable number.

144133464 is an abundant number, since it is smaller than the sum of its proper divisors (224119176).

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

144133464 is a wasteful number, since it uses less digits than its factorization.

144133464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 144133464 is about 12005.5597120667. The cubic root of 144133464 is about 524.3101615381.

The spelling of 144133464 in words is "one hundred forty-four million, one hundred thirty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 97 101 194 202 291 303 388 404 582 606 613 776 808 1164 1212 1226 1839 2328 2424 2452 3678 4904 7356 9797 14712 19594 29391 39188 58782 59461 61913 78376 117564 118922 123826 178383 185739 235128 237844 247652 356766 371478 475688 495304 713532 742956 1427064 1485912 6005561 12011122 18016683 24022244 36033366 48044488 72066732 144133464