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144516319168 = 2613374694527
BaseRepresentation
bin1000011010010111011…
…0000000011111000000
3111211000120221122221111
42012211312000133000
54331432134203133
6150220114133104
713304151305404
oct2064566003700
9454016848844
10144516319168
115631a770621
1224012281194
13108214606c0
146dcd385104
153b5c4851cd
hex21a5d807c0

144516319168 has 56 divisors (see below), whose sum is σ = 317181089792. Its totient is φ = 64897127424.

The previous prime is 144516319153. The next prime is 144516319169. The reversal of 144516319168 is 861913615441.

It is a super-3 number, since 3×1445163191683 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144516319169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2316480 + ... + 2378047.

It is an arithmetic number, because the mean of its divisors is an integer number (5663948032).

Almost surely, 2144516319168 is an apocalyptic number.

It is an amenable number.

144516319168 is an abundant number, since it is smaller than the sum of its proper divisors (172664770624).

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

144516319168 is a wasteful number, since it uses less digits than its factorization.

144516319168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694589 (or 4694579 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

The spelling of 144516319168 in words is "one hundred forty-four billion, five hundred sixteen million, three hundred nineteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2368 3848 7696 15392 30784 4694527 9389054 18778108 37556216 61028851 75112432 122057702 150224864 173697499 244115404 300449728 347394998 488230808 694789996 976461616 1389579992 1952923232 2258067487 2779159984 3905846464 4516134974 5558319968 9032269948 11116639936 18064539896 36129079792 72258159584 144516319168