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31341214424 = 23134116014591
BaseRepresentation
bin11101001100000101…
…001111101011011000
32222220020000122200102
4131030011033223120
51003141322330144
622221542554532
72156443632662
oct351405175330
988806018612
1031341214424
1112323331303
1260a8138a48
132c562005c0
141734617532
15c3675ab4e
hex74c14fad8

31341214424 has 64 divisors (see below), whose sum is σ = 64883306880. Its totient is φ = 14100480000.

The previous prime is 31341214409. The next prime is 31341214439. The reversal of 31341214424 is 42441214313.

It is an interprime number because it is at equal distance from previous prime (31341214409) and next prime (31341214439).

It is a super-2 number, since 2×313412144242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6824369 + ... + 6828959.

It is an arithmetic number, because the mean of its divisors is an integer number (1013801670).

Almost surely, 231341214424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31341214424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32441653440).

31341214424 is an abundant number, since it is smaller than the sum of its proper divisors (33542092456).

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

31341214424 is a wasteful number, since it uses less digits than its factorization.

31341214424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6252 (or 6248 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 31341214424 its reverse (42441214313), we get a palindrome (73782428737).

The spelling of 31341214424 in words is "thirty-one billion, three hundred forty-one million, two hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 1601 2132 3202 4264 4591 6404 9182 12808 18364 20813 36728 41626 59683 65641 83252 119366 131282 166504 188231 238732 262564 376462 477464 525128 752924 853333 1505848 1706666 2447003 3413332 4894006 6826664 7350191 9788012 14700382 19576024 29400764 58801528 95552483 191104966 301357831 382209932 602715662 764419864 1205431324 2410862648 3917651803 7835303606 15670607212 31341214424