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9157305342240 = 2533511353151199
BaseRepresentation
bin1000010101000001100111…
…1011101001100100100000
31012102102121100120011211000
42011100121323221210200
52200013130131422430
631250450305552000
71633410364055346
oct205203173514440
935372540504730
109157305342240
112a10656154000
12103a8b7045600
135156b7a93663
14239304797996
1510d3087dbe60
hex85419ee9920

9157305342240 has 1536 divisors, whose sum is σ = 36337932288000. Its totient is φ = 2152770048000.

The previous prime is 9157305342233. The next prime is 9157305342247. The reversal of 9157305342240 is 422435037519.

It is a happy number.

9157305342240 is a `hidden beast` number, since 9 + 1 + 5 + 73 + 0 + 534 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (9157305342233) and next prime (9157305342247).

It is a super-2 number, since 2×91573053422402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9157305342247) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46016609661 + ... + 46016609859.

It is an arithmetic number, because the mean of its divisors is an integer number (23657508000).

Almost surely, 29157305342240 is an apocalyptic number.

9157305342240 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 9157305342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168966144000).

9157305342240 is an abundant number, since it is smaller than the sum of its proper divisors (27180626945760).

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

9157305342240 is a wasteful number, since it uses less digits than its factorization.

9157305342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 9157305342240 in words is "nine trillion, one hundred fifty-seven billion, three hundred five million, three hundred forty-two thousand, two hundred forty".