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31343343410000 = 245415719963913
BaseRepresentation
bin1110010000001101100001…
…10110011001101101010000
311002222101122111022120111202
413020012300312121231100
513102012131403110000
6150354533322330332
76413324161103456
oct710066066315520
9132871574276452
1031343343410000
119a94701265746
1236226723599a8
131464884189c4b
147a505117c9d6
153954a3eb0dd5
hex1c81b0d99b50

31343343410000 has 100 divisors (see below), whose sum is σ = 76368718852932. Its totient is φ = 12457481088000.

The previous prime is 31343343409979. The next prime is 31343343410009. The reversal of 31343343410000 is 1434334313.

It can be written as a sum of positive squares in 10 ways, for example, as 27138973602064 + 4204369807936 = 5209508^2 + 2050456^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×313433434100002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31343343410009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8411957 + ... + 11551956.

Almost surely, 231343343410000 is an apocalyptic number.

It is an amenable number.

31343343410000 is an abundant number, since it is smaller than the sum of its proper divisors (45025375442932).

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

31343343410000 is a wasteful number, since it uses less digits than its factorization.

31343343410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19964098 (or 19964077 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 31343343410000 its reverse (1434334313), we get a palindrome (31344777744313).

The spelling of 31343343410000 in words is "thirty-one trillion, three hundred forty-three billion, three hundred forty-three million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 157 200 250 314 400 500 625 628 785 1000 1250 1256 1570 2000 2500 2512 3140 3925 5000 6280 7850 10000 12560 15700 19625 31400 39250 62800 78500 98125 157000 196250 314000 392500 785000 1570000 19963913 39927826 79855652 99819565 159711304 199639130 319422608 399278260 499097825 798556520 998195650 1597113040 1996391300 2495489125 3134334341 3992782600 4990978250 6268668682 7985565200 9981956500 12477445625 12537337364 15671671705 19963913000 24954891250 25074674728 31343343410 39927826000 49909782500 50149349456 62686686820 78358358525 99819565000 125373373640 156716717050 199639130000 250746747280 313433434100 391791792625 626866868200 783583585250 1253733736400 1567167170500 1958958963125 3134334341000 3917917926250 6268668682000 7835835852500 15671671705000 31343343410000