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144454131 = 33191931459
BaseRepresentation
bin10001001110000…
…11000111110011
3101001211000211000
420213003013303
5243440013011
622200053043
73402561033
oct1047030763
9331730730
10144454131
11745a4588
1240464183
1323c09823
14152838c3
15ca36356
hex89c31f3

144454131 has 32 divisors (see below), whose sum is σ = 226592000. Its totient is φ = 90699264.

The previous prime is 144454127. The next prime is 144454147. The reversal of 144454131 is 131454441.

144454131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144454131 - 22 = 144454127 is a prime.

It is a super-2 number, since 2×1444541312 = 41733991925930322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144454095 and 144454104.

It is not an unprimeable number, because it can be changed into a prime (144454181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98280 + ... + 99738.

It is an arithmetic number, because the mean of its divisors is an integer number (7081000).

Almost surely, 2144454131 is an apocalyptic number.

144454131 is a deficient number, since it is larger than the sum of its proper divisors (82137869).

144454131 is a wasteful number, since it uses less digits than its factorization.

144454131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1674 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 144454131 is about 12018.9072298608. The cubic root of 144454131 is about 524.6987005856.

The spelling of 144454131 in words is "one hundred forty-four million, four hundred fifty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 171 193 513 579 1459 1737 3667 4377 5211 11001 13131 27721 33003 39393 83163 99009 249489 281587 748467 844761 2534283 5350153 7602849 16050459 48151377 144454131