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9940930191360 = 21333573114129
BaseRepresentation
bin1001000010101000110110…
…0111001110000000000000
31022012100021111222001202000
42100222031213032000000
52300333011112110420
633050444510024000
72044131342301620
oct220521547160000
938170244861660
109940930191360
113192a19a2a553
1211467514a8000
1357156c335b2c
14265202014880
151238be1d2690
hex90a8d9ce000

9940930191360 has 896 divisors, whose sum is σ = 40532118681600. Its totient is φ = 2264357928960.

The previous prime is 9940930191341. The next prime is 9940930191421. The reversal of 9940930191360 is 631910390499.

9940930191360 is a `hidden beast` number, since 9 + 9 + 4 + 0 + 93 + 0 + 191 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9940930191297 and 9940930191306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2407585776 + ... + 2407589904.

It is an arithmetic number, because the mean of its divisors is an integer number (45236739600).

Almost surely, 29940930191360 is an apocalyptic number.

9940930191360 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 9940930191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20266059340800).

9940930191360 is an abundant number, since it is smaller than the sum of its proper divisors (30591188490240).

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

9940930191360 is a wasteful number, since it uses less digits than its factorization.

9940930191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 9940930191360 in words is "nine trillion, nine hundred forty billion, nine hundred thirty million, one hundred ninety-one thousand, three hundred sixty".