Search a number
-
+
313534129472 = 2619509506563
BaseRepresentation
bin1001001000000000001…
…01110010010101000000
31002222021201210001002122
410210000011302111000
520114104214120342
6400011404303412
731436445061634
oct4440005622500
91088251701078
10313534129472
11110a7292a073
1250921b41b68
1323748a75145
14112647c8dc4
15825096b4d2
hex4900172540

313534129472 has 56 divisors (see below), whose sum is σ = 656203005600. Its totient is φ = 148224093696.

The previous prime is 313534129303. The next prime is 313534129481. The reversal of 313534129472 is 274921435313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365663 + ... + 872225.

Almost surely, 2313534129472 is an apocalyptic number.

313534129472 is a gapful number since it is divisible by the number (32) 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 313534129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328101502800).

313534129472 is an abundant number, since it is smaller than the sum of its proper divisors (342668876128).

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

313534129472 is a wasteful number, since it uses less digits than its factorization.

313534129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507103 (or 507093 counting only the distinct ones).

The product of its digits is 544320, while the sum is 44.

The spelling of 313534129472 in words is "three hundred thirteen billion, five hundred thirty-four million, one hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 509 608 1018 1216 2036 4072 8144 9671 16288 19342 32576 38684 77368 154736 309472 506563 618944 1013126 2026252 4052504 8105008 9624697 16210016 19249394 32420032 38498788 76997576 153995152 257840567 307990304 515681134 615980608 1031362268 2062724536 4125449072 4898970773 8250898144 9797941546 16501796288 19595883092 39191766184 78383532368 156767064736 313534129472