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144031331424 = 25326354710429
BaseRepresentation
bin1000011000100011101…
…1111011010001100000
3111202202210100201211110
42012020323323101200
54324434010101144
6150100031143320
713256142055101
oct2061073732140
9452683321743
10144031331424
11560a0a28102
1223ab7974b40
1310774b336c6
146d84bba3a8
153b2ead50b9
hex2188efb460

144031331424 has 96 divisors (see below), whose sum is σ = 380250097920. Its totient is φ = 47735880192.

The previous prime is 144031331417. The next prime is 144031331443. The reversal of 144031331424 is 424133130441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 144031331391 and 144031331400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13805442 + ... + 13815870.

It is an arithmetic number, because the mean of its divisors is an integer number (3960938520).

Almost surely, 2144031331424 is an apocalyptic number.

It is an amenable number.

144031331424 is an abundant number, since it is smaller than the sum of its proper divisors (236218766496).

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

144031331424 is a wasteful number, since it uses less digits than its factorization.

144031331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252 (or 11244 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144031331424 its reverse (424133130441), we get a palindrome (568164461865).

The spelling of 144031331424 in words is "one hundred forty-four billion, thirty-one million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 547 789 1052 1094 1578 1641 2104 2188 3156 3282 4208 4376 6312 6564 8416 8752 10429 12624 13128 17504 20858 25248 26256 31287 41716 52512 62574 83432 125148 143861 166864 250296 287722 333728 431583 500592 575444 863166 1001184 1150888 1726332 2301776 2742827 3452664 4603552 5485654 5704663 6905328 8228481 10971308 11409326 13810656 16456962 17113989 21942616 22818652 32913924 34227978 43885232 45637304 65827848 68455956 87770464 91274608 131655696 136911912 182549216 263311392 273823824 547647648 1500326369 3000652738 4500979107 6001305476 9001958214 12002610952 18003916428 24005221904 36007832856 48010443808 72015665712 144031331424