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9140201052840 = 233351113105156311
BaseRepresentation
bin1000010100000001111001…
…1011111101101010101000
31012100210110022211020202000
42011000132123331222220
52144223112432142330
631234541141411000
71632233463025404
oct205003633755250
935323408736660
109140201052840
112a04379234240
121037522a09a60
13513bc02b7260
14238560ccc104
1510cb56db4560
hex8501e6fdaa8

9140201052840 has 512 divisors, whose sum is σ = 35828487475200. Its totient is φ = 2043377280000.

The previous prime is 9140201052839. The next prime is 9140201052847. The reversal of 9140201052840 is 482501020419.

9140201052840 is a `hidden beast` number, since 91 + 4 + 0 + 2 + 0 + 1 + 0 + 528 + 40 = 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 = 9140201052795 and 9140201052804.

It is not an unprimeable number, because it can be changed into a prime (9140201052847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162288285 + ... + 162344595.

It is an arithmetic number, because the mean of its divisors is an integer number (69977514600).

Almost surely, 29140201052840 is an apocalyptic number.

9140201052840 is a gapful number since it is divisible by the number (90) 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 9140201052840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17914243737600).

9140201052840 is an abundant number, since it is smaller than the sum of its proper divisors (26688286422360).

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

9140201052840 is a wasteful number, since it uses less digits than its factorization.

9140201052840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57406 (or 57396 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 9140201052840 in words is "nine trillion, one hundred forty billion, two hundred one million, fifty-two thousand, eight hundred forty".