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1157817073140 = 223457313295527
BaseRepresentation
bin10000110110010011010…
…001100111110111110100
311002200112021002101210000
4100312103101213313310
5122432202132320030
62243521022031300
7146435533512000
oct20662321476764
94080467071700
101157817073140
1140703360a872
12168486718530
1385249200c60
1440078085700
15201b675a860
hex10d93467df4

1157817073140 has 960 divisors, whose sum is σ = 4719673728000. Its totient is φ = 235820325888.

The previous prime is 1157817073139. The next prime is 1157817073141. The reversal of 1157817073140 is 413707187511.

1157817073140 is a `hidden beast` number, since 1 + 1 + 578 + 1 + 7 + 0 + 7 + 31 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1157817073139) and next prime (1157817073141).

It is a super-2 number, since 2×11578170731402 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157817073141) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 209481057 + ... + 209486583.

It is an arithmetic number, because the mean of its divisors is an integer number (4916326800).

Almost surely, 21157817073140 is an apocalyptic number.

1157817073140 is a gapful number since it is divisible by the number (10) 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 1157817073140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359836864000).

1157817073140 is an abundant number, since it is smaller than the sum of its proper divisors (3561856654860).

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

1157817073140 is a wasteful number, since it uses less digits than its factorization.

1157817073140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 45.

The spelling of 1157817073140 in words is "one trillion, one hundred fifty-seven billion, eight hundred seventeen million, seventy-three thousand, one hundred forty".