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144331323113304 = 23341911722817017
BaseRepresentation
bin100000110100010011000001…
…001111100111111101011000
3200221000221101001211021220000
4200310103001033213331120
5122404211022204111204
61230544521113133000
742254410510220565
oct4064230117477530
9627027331737800
10144331323113304
1141a96630207808
12142304640ba160
13626c50186b2b2
14278d95d7d386c
1511a45c79d8039
hex8344c13e7f58

144331323113304 has 80 divisors (see below), whose sum is σ = 425538257753400. Its totient is φ = 45578312558208.

The previous prime is 144331323113231. The next prime is 144331323113321. The reversal of 144331323113304 is 403311323133441.

144331323113304 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 3 + 1 + 3 + 2 + 311 + 330 + 4 = 666.

It is a super-2 number, since 2×1443313231133042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 5861396197 + ... + 5861420820.

Almost surely, 2144331323113304 is an apocalyptic number.

It is an amenable number.

144331323113304 is an abundant number, since it is smaller than the sum of its proper divisors (281206934640096).

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

144331323113304 is a wasteful number, since it uses less digits than its factorization.

144331323113304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722817054 (or 11722817041 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 144331323113304 its reverse (403311323133441), we get a palindrome (547642646246745).

The spelling of 144331323113304 in words is "one hundred forty-four trillion, three hundred thirty-one billion, three hundred twenty-three million, one hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312 11722817017 23445634034 35168451051 46891268068 70336902102 93782536136 105505353153 140673804204 211010706306 222733523323 281347608408 316516059459 422021412612 445467046646 633032118918 668200569969 844042825224 890934093292 949548178377 1266064237836 1336401139938 1781868186584 1899096356754 2004601709907 2532128475672 2672802279876 3798192713508 4009203419814 5345604559752 6013805129721 7596385427016 8018406839628 12027610259442 16036813679256 18041415389163 24055220518884 36082830778326 48110441037768 72165661556652 144331323113304