Search a number
-
+
316402106034640 = 2455648970014097
BaseRepresentation
bin100011111110001000001101…
…1001000101110100111010000
31112111021202010210011101222111
41013330100123020232213100
5312432413003121102030
63040533042040115104
7123434204100426343
oct10774203310564720
91474252123141874
10316402106034640
11918a741a2a828a
122b5a0a21165a94
131077178a64ccb2
14581bd2d4d445a
15268a528e8d62a
hex11fc41b22e9d0

316402106034640 has 40 divisors (see below), whose sum is σ = 735647929659720. Its totient is φ = 126558600155136.

The previous prime is 316402106034613. The next prime is 316402106034713. The reversal of 316402106034640 is 46430601204613.

It can be written as a sum of positive squares in 4 ways, for example, as 301299992464 + 316100806042176 = 548908^2 + 17779224^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3164021060346402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 316402106034593 and 316402106034602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30487929 + ... + 39526168.

It is an arithmetic number, because the mean of its divisors is an integer number (18391198241493).

Almost surely, 2316402106034640 is an apocalyptic number.

It is an amenable number.

316402106034640 is an abundant number, since it is smaller than the sum of its proper divisors (419245823625080).

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

316402106034640 is a wasteful number, since it uses less digits than its factorization.

316402106034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70070599 (or 70070593 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 316402106034640 in words is "three hundred sixteen trillion, four hundred two billion, one hundred six million, thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 56489 112978 225956 282445 451912 564890 903824 1129780 2259560 4519120 70014097 140028194 280056388 350070485 560112776 700140970 1120225552 1400281940 2800563880 5601127760 3955026325433 7910052650866 15820105301732 19775131627165 31640210603464 39550263254330 63280421206928 79100526508660 158201053017320 316402106034640