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144555642 = 232711104297
BaseRepresentation
bin10001001110110…
…11111001111010
3101002000012001200
420213123321322
5244001240032
622202155030
73403463010
oct1047337172
9332005050
10144555642
1174663880
12404b2a76
1323c43aaa
14152ac8b0
15ca5647c
hex89dbe7a

144555642 has 48 divisors (see below), whose sum is σ = 390491712. Its totient is φ = 37546560.

The previous prime is 144555623. The next prime is 144555679. The reversal of 144555642 is 246555441.

144555642 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 5 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144555597 and 144555606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50763 + ... + 53534.

It is an arithmetic number, because the mean of its divisors is an integer number (8135244).

Almost surely, 2144555642 is an apocalyptic number.

144555642 is an abundant number, since it is smaller than the sum of its proper divisors (245936070).

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

144555642 is a wasteful number, since it uses less digits than its factorization.

144555642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104323 (or 104320 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 144555642 is about 12023.1294595043. The cubic root of 144555642 is about 524.8215774648.

The spelling of 144555642 in words is "one hundred forty-four million, five hundred fifty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 104297 208594 312891 625782 730079 938673 1147267 1460158 1877346 2190237 2294534 3441801 4380474 6570711 6883602 8030869 10325403 13141422 16061738 20650806 24092607 48185214 72277821 144555642