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144040215 = 35112611301
BaseRepresentation
bin10001001010111…
…10000100010111
3101001001000000210
420211132010113
5243333241330
622143140503
73366215214
oct1045360427
9331030023
10144040215
1174341600
12402a4733
1323ac32c7
14151b6b0b
15c9a38b0
hex895e117

144040215 has 48 divisors (see below), whose sum is σ = 257671008. Its totient is φ = 68640000.

The previous prime is 144040189. The next prime is 144040217. The reversal of 144040215 is 512040441.

It is a happy number.

It is not a de Polignac number, because 144040215 - 213 = 144032023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144040191 and 144040200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040217) 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 47 ways as a sum of consecutive naturals, for example, 110065 + ... + 111365.

It is an arithmetic number, because the mean of its divisors is an integer number (5368146).

Almost surely, 2144040215 is an apocalyptic number.

144040215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144040215 is a deficient number, since it is larger than the sum of its proper divisors (113630793).

144040215 is a wasteful number, since it uses less digits than its factorization.

144040215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 144040215 is about 12001.6755080280. The cubic root of 144040215 is about 524.1970674092.

Adding to 144040215 its reverse (512040441), we get a palindrome (656080656).

The spelling of 144040215 in words is "one hundred forty-four million, forty thousand, two hundred fifteen".

Divisors: 1 3 5 11 15 33 55 61 121 165 183 305 363 605 671 915 1301 1815 2013 3355 3903 6505 7381 10065 14311 19515 22143 36905 42933 71555 79361 110715 157421 214665 238083 396805 472263 787105 872971 1190415 2361315 2618913 4364855 9602681 13094565 28808043 48013405 144040215