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31344411420 = 22325730781031
BaseRepresentation
bin11101001100010001…
…011100001100011100
32222220110001002010200
4131030101130030130
51003143132131140
622222135303500
72156513046450
oct351421341434
988813032120
1031344411420
1112325115253
1260a921ab90
132c56a7c80a
141734c0a660
15c36b8d030
hex74c45c31c

31344411420 has 144 divisors (see below), whose sum is σ = 109015915008. Its totient is φ = 7141011840.

The previous prime is 31344411401. The next prime is 31344411433. The reversal of 31344411420 is 2411444313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346305 + ... + 427335.

Almost surely, 231344411420 is an apocalyptic number.

31344411420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31344411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54507957504).

31344411420 is an abundant number, since it is smaller than the sum of its proper divisors (77671503588).

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

31344411420 is a wasteful number, since it uses less digits than its factorization.

31344411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81360 (or 81355 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31344411420 its reverse (2411444313), we get a palindrome (33755855733).

The spelling of 31344411420 in words is "thirty-one billion, three hundred forty-four million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 307 315 420 614 630 921 1228 1260 1535 1842 2149 2763 3070 3684 4298 4605 5526 6140 6447 8596 9210 10745 11052 12894 13815 18420 19341 21490 25788 27630 32235 38682 42980 55260 64470 77364 81031 96705 128940 162062 193410 243093 324124 386820 405155 486186 567217 729279 810310 972372 1134434 1215465 1458558 1620620 1701651 2268868 2430930 2836085 2917116 3403302 3646395 4861860 5104953 5672170 6806604 7292790 8508255 10209906 11344340 14585580 17016510 20419812 24876517 25524765 34033020 49753034 51049530 74629551 99506068 102099060 124382585 149259102 174135619 223888653 248765170 298518204 348271238 373147755 447777306 497530340 522406857 696542476 746295510 870678095 895554612 1044813714 1119443265 1492591020 1567220571 1741356190 2089627428 2238886530 2612034285 3134441142 3482712380 4477773060 5224068570 6268882284 7836102855 10448137140 15672205710 31344411420