Search a number
-
+
144738765015 = 3513947783791
BaseRepresentation
bin1000011011001100011…
…0100100100011010111
3111211121002112002021120
42012303012210203113
54332411110440030
6150254142015023
713312522126515
oct2066306444327
9454532462246
10144738765015
1156424294469
1224074877473
1310858576470
147010b2b4b5
153b71c75010
hex21b31a48d7

144738765015 has 32 divisors (see below), whose sum is σ = 249659698176. Its totient is φ = 71180672640.

The previous prime is 144738764993. The next prime is 144738765019. The reversal of 144738765015 is 510567837441.

It is a happy number.

It is not a de Polignac number, because 144738765015 - 219 = 144738240727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144738765019) 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, 207231 + ... + 576560.

It is an arithmetic number, because the mean of its divisors is an integer number (7801865568).

Almost surely, 2144738765015 is an apocalyptic number.

144738765015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144738765015 is a deficient number, since it is larger than the sum of its proper divisors (104920933161).

144738765015 is a wasteful number, since it uses less digits than its factorization.

144738765015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784759.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 144738765015 in words is "one hundred forty-four billion, seven hundred thirty-eight million, seven hundred sixty-five thousand, fifteen".

Divisors: 1 3 5 13 15 39 65 195 947 2841 4735 12311 14205 36933 61555 184665 783791 2351373 3918955 10189283 11756865 30567849 50946415 152839245 742250077 2226750231 3711250385 9649251001 11133751155 28947753003 48246255005 144738765015