Search a number
-
+
144100632 = 23313461861
BaseRepresentation
bin10001001011011…
…00110100011000
3101001011001220110
420211230310120
5243342210012
622144324320
73366556314
oct1045546430
9331131813
10144100632
1174382a35
12403136a0
1323b14960
14151d0b44
15c9b673c
hex896cd18

144100632 has 32 divisors (see below), whose sum is σ = 387964080. Its totient is φ = 44338560.

The previous prime is 144100571. The next prime is 144100633. The reversal of 144100632 is 236001441.

It is a junction number, because it is equal to n+sod(n) for n = 144100599 and 144100608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144100633) 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, 230619 + ... + 231242.

Almost surely, 2144100632 is an apocalyptic number.

144100632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144100632 is an abundant number, since it is smaller than the sum of its proper divisors (243863448).

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

144100632 is a wasteful number, since it uses less digits than its factorization.

144100632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461883 (or 461879 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144100632 is about 12004.1922677038. The cubic root of 144100632 is about 524.2703478405.

The spelling of 144100632 in words is "one hundred forty-four million, one hundred thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 461861 923722 1385583 1847444 2771166 3694888 5542332 6004193 11084664 12008386 18012579 24016772 36025158 48033544 72050316 144100632