Search a number
-
+
313423300420 = 225194724172817
BaseRepresentation
bin1001000111110010111…
…11000000011101000100
31002222000000020100012221
410203321133000131010
520113342331103140
6355552405022124
731433631045106
oct4437137003504
91088000210187
10313423300420
11110a1631160a
12508b09b4944
132372bb0c619
1411253bb9576
158245d7814a
hex48f97c0744

313423300420 has 96 divisors (see below), whose sum is σ = 710517265920. Its totient is φ = 115759964160.

The previous prime is 313423300403. The next prime is 313423300433. The reversal of 313423300420 is 24003324313.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4267852 + ... + 4340668.

It is an arithmetic number, because the mean of its divisors is an integer number (7401221520).

Almost surely, 2313423300420 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 313423300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355258632960).

313423300420 is an abundant number, since it is smaller than the sum of its proper divisors (397093965500).

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

313423300420 is a wasteful number, since it uses less digits than its factorization.

313423300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73133 (or 73131 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 313423300420 its reverse (24003324313), we get a palindrome (337426624733).

The spelling of 313423300420 in words is "three hundred thirteen billion, four hundred twenty-three million, three hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 241 380 470 482 893 940 964 1205 1786 2410 3572 4465 4579 4820 8930 9158 11327 17860 18316 22654 22895 45308 45790 56635 72817 91580 113270 145634 215213 226540 291268 364085 430426 728170 860852 1076065 1383523 1456340 2152130 2767046 3422399 4304260 5534092 6844798 6917615 13689596 13835230 17111995 17548897 27670460 34223990 35097794 65025581 68447980 70195588 87744485 130051162 175488970 260102324 325127905 333429043 350977940 650255810 666858086 824798159 1300511620 1333716172 1649596318 1667145215 3299192636 3334290430 4123990795 6668580860 8247981590 15671165021 16495963180 31342330042 62684660084 78355825105 156711650210 313423300420