Search a number
-
+
144508800757004 = 22321161311248927
BaseRepresentation
bin100000110110111000010011…
…101111000110110100001100
3200221122220110210022201202222
4200312320103233012310030
5122420113010443211004
61231202232051034512
742303262540260335
oct4066702357066414
9627586423281688
10144508800757004
1142054924766302
121425a934b9ba38
136283176a56608
1427983985dd28c
1511a9013a4b7be
hex836e13bc6d0c

144508800757004 has 12 divisors (see below), whose sum is σ = 252890502548544. Its totient is φ = 72254371457424.

The previous prime is 144508800756967. The next prime is 144508800757099. The reversal of 144508800757004 is 400757008805441.

It is a super-3 number, since 3×1445088007570043 (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7221989 + ... + 18470915.

It is an arithmetic number, because the mean of its divisors is an integer number (21074208545712).

Almost surely, 2144508800757004 is an apocalyptic number.

It is an amenable number.

144508800757004 is a deficient number, since it is larger than the sum of its proper divisors (108381701791540).

144508800757004 is a wasteful number, since it uses less digits than its factorization.

144508800757004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14460544 (or 14460542 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 53.

The spelling of 144508800757004 in words is "one hundred forty-four trillion, five hundred eight billion, eight hundred million, seven hundred fifty-seven thousand, four".

Divisors: 1 2 4 3211613 6423226 11248927 12846452 22497854 44995708 36127200189251 72254400378502 144508800757004