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31214334320 = 24513127236329
BaseRepresentation
bin11101000100100001…
…001111000101110000
32222120101021110220022
4131010201033011300
51002411332144240
622201211303012
72153343315101
oct350441170560
988511243808
1031214334320
1112268750414
12607174aa68
132c35b37c10
14172182a3a8
15c2a5469b5
hex74484f170

31214334320 has 80 divisors (see below), whose sum is σ = 78771624960. Its totient is φ = 11434493952.

The previous prime is 31214334313. The next prime is 31214334323. The reversal of 31214334320 is 2343341213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 31214334320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214334323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13916 + ... + 250244.

It is an arithmetic number, because the mean of its divisors is an integer number (984645312).

Almost surely, 231214334320 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 31214334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39385812480).

31214334320 is an abundant number, since it is smaller than the sum of its proper divisors (47557290640).

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

31214334320 is a wasteful number, since it uses less digits than its factorization.

31214334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236482 (or 236476 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 31214334320 its reverse (2343341213), we get a palindrome (33557675533).

The spelling of 31214334320 in words is "thirty-one billion, two hundred fourteen million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 208 254 260 508 520 635 1016 1040 1270 1651 2032 2540 3302 5080 6604 8255 10160 13208 16510 26416 33020 66040 132080 236329 472658 945316 1181645 1890632 2363290 3072277 3781264 4726580 6144554 9453160 12289108 15361385 18906320 24578216 30013783 30722770 49156432 60027566 61445540 120055132 122891080 150068915 240110264 245782160 300137830 390179179 480220528 600275660 780358358 1200551320 1560716716 1950895895 2401102640 3121433432 3901791790 6242866864 7803583580 15607167160 31214334320