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338394501945 = 325138119512791
BaseRepresentation
bin1001110110010011110…
…00100101001100111001
31012100110021221210221200
410323021320211030321
521021012443030240
6415242320324413
733306505543653
oct4731170451471
91170407853850
10338394501945
1112056a968945
12556bb773709
1325bab3a1a06
14125423c76d3
158c0825c930
hex4ec9e25339

338394501945 has 48 divisors (see below), whose sum is σ = 587486475264. Its totient is φ = 180189360000.

The previous prime is 338394501937. The next prime is 338394502009. The reversal of 338394501945 is 549105493833.

338394501945 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 94 + 501 + 9 + 45 = 666.

338394501945 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 338394501945 - 23 = 338394501937 is a prime.

It is a super-2 number, since 2×3383945019452 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338394501891 and 338394501900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121243500 + ... + 121246290.

It is an arithmetic number, because the mean of its divisors is an integer number (12239301568).

Almost surely, 2338394501945 is an apocalyptic number.

It is an amenable number.

338394501945 is a deficient number, since it is larger than the sum of its proper divisors (249091973319).

338394501945 is a wasteful number, since it uses less digits than its factorization.

338394501945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 338394501945 in words is "three hundred thirty-eight billion, three hundred ninety-four million, five hundred one thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 1381 1951 2791 4143 5853 6905 8373 9755 12429 13955 17559 20715 25119 29265 41865 62145 87795 125595 2694331 3854371 5445241 8082993 11563113 13471655 16335723 19271855 24248979 27226205 34689339 40414965 49007169 57815565 81678615 121244895 173446695 245035845 7519877821 22559633463 37599389105 67678900389 112798167315 338394501945