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2404323140031 = 32172310917333617
BaseRepresentation
bin100010111111001100110…
…100111010000110111111
322111211222102011111012100
4202333030310322012333
5303343023210440111
65040310353040143
7335464240326621
oct42771464720677
98454872144170
102404323140031
1184773880628a
12329b82b56053
1314595a734627
1484526c80c11
154281e1cb756
hex22fccd3a1bf

2404323140031 has 96 divisors (see below), whose sum is σ = 3875586549120. Its totient is φ = 1428545175552.

The previous prime is 2404323140029. The next prime is 2404323140081. The reversal of 2404323140031 is 1300413234042.

2404323140031 is a `hidden beast` number, since 24 + 0 + 4 + 3 + 231 + 400 + 3 + 1 = 666.

It is not a de Polignac number, because 2404323140031 - 21 = 2404323140029 is a prime.

It is a super-2 number, since 2×24043231400312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2404323139977 and 2404323140004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404323140081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664726735 + ... + 664730351.

It is an arithmetic number, because the mean of its divisors is an integer number (40370693220).

Almost surely, 22404323140031 is an apocalyptic number.

2404323140031 is a deficient number, since it is larger than the sum of its proper divisors (1471263409089).

2404323140031 is a wasteful number, since it uses less digits than its factorization.

2404323140031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2404323140031 its reverse (1300413234042), we get a palindrome (3704736374073).

The spelling of 2404323140031 in words is "two trillion, four hundred four billion, three hundred twenty-three million, one hundred forty thousand, thirty-one".

Divisors: 1 3 9 17 23 51 69 109 153 207 327 391 981 1173 1733 1853 2507 3519 3617 5199 5559 7521 10851 15597 16677 22563 29461 32553 39859 42619 61489 83191 88383 119577 127857 184467 188897 249573 265149 358731 383571 394253 553401 566691 677603 748719 1182759 1414247 1700073 2032809 3211249 3548277 4242741 4344631 6098427 6268261 6702301 9067819 9633747 12728223 13033893 18804783 20106903 27203457 28901241 39101679 56414349 60320709 73858727 81610371 106560437 144170003 154152923 221576181 319681311 432510009 462458769 664728543 683240449 959043933 1297530027 1387376307 2049721347 2450890051 6149164041 7352670153 11615087633 15714530327 22058010459 34845262899 47143590981 104535788697 141430772943 267147015559 801441046677 2404323140031