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144071774064 = 24331033237859
BaseRepresentation
bin1000011000101101011…
…0001100111101110000
3111202212121110102201000
42012023112030331300
54330024333232224
6150104034042000
713260142605501
oct2061326147560
9452777412630
10144071774064
1156111840279
1223b09419300
131078032386a
146d8a306ba8
153b334230c9
hex218b58cf70

144071774064 has 80 divisors (see below), whose sum is σ = 417554425600. Its totient is φ = 47557658304.

The previous prime is 144071774057. The next prime is 144071774087. The reversal of 144071774064 is 460477170441.

144071774064 is a `hidden beast` number, since 14 + 407 + 177 + 4 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1574434 + ... + 1663425.

It is an arithmetic number, because the mean of its divisors is an integer number (5219430320).

Almost surely, 2144071774064 is an apocalyptic number.

It is an amenable number.

144071774064 is an abundant number, since it is smaller than the sum of its proper divisors (273482651536).

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

144071774064 is a wasteful number, since it uses less digits than its factorization.

144071774064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3237979 (or 3237967 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 144071774064 in words is "one hundred forty-four billion, seventy-one million, seven hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 103 108 144 206 216 309 412 432 618 824 927 1236 1648 1854 2472 2781 3708 4944 5562 7416 11124 14832 22248 44496 3237859 6475718 9713577 12951436 19427154 25902872 29140731 38854308 51805744 58281462 77708616 87422193 116562924 155417232 174844386 233125848 333499477 349688772 466251696 666998954 699377544 1000498431 1333997908 1398755088 2000996862 2667995816 3001495293 4001993724 5335991632 6002990586 8003987448 9004485879 12005981172 16007974896 18008971758 24011962344 36017943516 48023924688 72035887032 144071774064