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1229159543040 = 2833511133171113
BaseRepresentation
bin10001111000101111100…
…111100011000100000000
311100111200020112101011000
4101320233213203010000
5130114304320334130
62340400150452000
7154542501505032
oct21705747430400
94314606471130
101229159543040
114343135773a0
1217a277064000
138bba88033a0
14436c50b5c52
1521e8eb4a260
hex11e2f9e3100

1229159543040 has 2304 divisors, whose sum is σ = 5411638149120. Its totient is φ = 260112384000.

The previous prime is 1229159543033. The next prime is 1229159543069. The reversal of 1229159543040 is 403459519221.

It is a happy number.

1229159543040 is a `hidden beast` number, since 1 + 2 + 2 + 91 + 5 + 95 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×12291595430402 (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10877518024 + ... + 10877518136.

It is an arithmetic number, because the mean of its divisors is an integer number (2348801280).

Almost surely, 21229159543040 is an apocalyptic number.

1229159543040 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 1229159543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705819074560).

1229159543040 is an abundant number, since it is smaller than the sum of its proper divisors (4182478606080).

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

1229159543040 is a wasteful number, since it uses less digits than its factorization.

1229159543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1229159543040 in words is "one trillion, two hundred twenty-nine billion, one hundred fifty-nine million, five hundred forty-three thousand, forty".