Search a number
-
+
318440196252 = 2232231999192391
BaseRepresentation
bin1001010001001001000…
…00111100100010011100
31010102221122102001111200
410220210200330202130
520204131142240002
6402142302315500
732002150002423
oct4504440744234
91112848361450
10318440196252
11113060209712
1251870b88b90
132404b305739
14115ac1d82ba
15843b51ab1c
hex4a2483c89c

318440196252 has 72 divisors (see below), whose sum is σ = 840368256000. Its totient is φ = 101480338080.

The previous prime is 318440196247. The next prime is 318440196257. The reversal of 318440196252 is 252691044813.

318440196252 is a `hidden beast` number, since 3 + 1 + 8 + 4 + 4 + 0 + 19 + 625 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (318440196247) and next prime (318440196257).

It is a junction number, because it is equal to n+sod(n) for n = 318440196198 and 318440196207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318440196257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1558977 + ... + 1751367.

Almost surely, 2318440196252 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 318440196252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420184128000).

318440196252 is an abundant number, since it is smaller than the sum of its proper divisors (521928059748).

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

318440196252 is a wasteful number, since it uses less digits than its factorization.

318440196252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194423 (or 194418 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 318440196252 in words is "three hundred eighteen billion, four hundred forty million, one hundred ninety-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 1999 3998 5997 7996 11994 17991 23988 35982 45977 71964 91954 137931 183908 192391 275862 384782 413793 551724 577173 769564 827586 1154346 1655172 1731519 2308692 3463038 4424993 6926076 8849986 13274979 17699972 26549958 39824937 53099916 79649874 159299748 384589609 769179218 1153768827 1538358436 2307537654 3461306481 4615075308 6922612962 8845561007 13845225924 17691122014 26536683021 35382244028 53073366042 79610049063 106146732084 159220098126 318440196252