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361383197940 = 223254179641967
BaseRepresentation
bin1010100001001000001…
…11011111110011110100
31021112210102020120100200
411100210013133303310
521410103044313230
6434003412040500
735052261333162
oct5204407376364
91245712216320
10361383197940
1112a297437456
125a056603130
13281030038cb
14136c35b2232
159601588160
hex54241dfcf4

361383197940 has 288 divisors, whose sum is σ = 1140098319360. Its totient is φ = 92587622400.

The previous prime is 361383197921. The next prime is 361383197953. The reversal of 361383197940 is 49791383163.

It is a happy number.

361383197940 is a `hidden beast` number, since 3 + 613 + 8 + 3 + 19 + 7 + 9 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 373715337 + ... + 373716303.

It is an arithmetic number, because the mean of its divisors is an integer number (3958674720).

Almost surely, 2361383197940 is an apocalyptic number.

361383197940 is a gapful number since it is divisible by the number (30) 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 361383197940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570049159680).

361383197940 is an abundant number, since it is smaller than the sum of its proper divisors (778715121420).

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

361383197940 is a wasteful number, since it uses less digits than its factorization.

361383197940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 361383197940 in words is "three hundred sixty-one billion, three hundred eighty-three million, one hundred ninety-seven thousand, nine hundred forty".