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36394330140 = 2232571923157421
BaseRepresentation
bin100001111001010001…
…010110100000011100
310110221101100112022100
4201321101112200130
51044013422031030
624415212445100
72425612462530
oct417121264034
9113841315270
1036394330140
11144867179a3
127078479790
1335800687bc
141a93783bc0
15e301a5360
hex87945681c

36394330140 has 576 divisors, whose sum is σ = 139795568640. Its totient is φ = 7472424960.

The previous prime is 36394330123. The next prime is 36394330151. The reversal of 36394330140 is 4103349363.

36394330140 is a `hidden beast` number, since 3 + 639 + 4 + 3 + 3 + 0 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36394330095 and 36394330104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86447130 + ... + 86447550.

It is an arithmetic number, because the mean of its divisors is an integer number (242700640).

Almost surely, 236394330140 is an apocalyptic number.

36394330140 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 36394330140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69897784320).

36394330140 is an abundant number, since it is smaller than the sum of its proper divisors (103401238500).

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

36394330140 is a wasteful number, since it uses less digits than its factorization.

36394330140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 36394330140 in words is "thirty-six billion, three hundred ninety-four million, three hundred thirty thousand, one hundred forty".