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740136348996 = 22311193715235237
BaseRepresentation
bin10101100010100111001…
…00000110110101000100
32121202102101010011220020
422301103210012311010
544111244401131441
61324003002335140
7104321161110162
oct12612344066504
92552371104806
10740136348996
11265987745760
12bb53a1ba4b0
1354a4384ba85
1427b73a46232
15143bca23e66
hexac53906d44

740136348996 has 192 divisors, whose sum is σ = 2038465336320. Its totient is φ = 206561456640.

The previous prime is 740136348967. The next prime is 740136348997. The reversal of 740136348996 is 699843631047.

It is not an unprimeable number, because it can be changed into a prime (740136348997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141325690 + ... + 141330926.

It is an arithmetic number, because the mean of its divisors is an integer number (10617006960).

Almost surely, 2740136348996 is an apocalyptic number.

740136348996 is a gapful number since it is divisible by the number (76) 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 740136348996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019232668160).

740136348996 is an abundant number, since it is smaller than the sum of its proper divisors (1298328987324).

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

740136348996 is a wasteful number, since it uses less digits than its factorization.

740136348996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6834 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 740136348996 in words is "seven hundred forty billion, one hundred thirty-six million, three hundred forty-eight thousand, nine hundred ninety-six".