Base | Representation |
---|---|
bin | 10010010010111000001… |
… | …010100111110000000000 |
3 | 11110012002211200121012200 |
4 | 102102320022213300000 |
5 | 131044241340224212 |
6 | 2401320424553200 |
7 | 156555042511200 |
oct | 22227012476000 |
9 | 4405084617180 |
10 | 1257220242432 |
11 | 445203062150 |
12 | 1837a8622800 |
13 | 9172b18451b |
14 | 44bc7b46400 |
15 | 22a833a16dc |
hex | 124b82a7c00 |
1257220242432 has 792 divisors, whose sum is σ = 4719904508592. Its totient is φ = 318534451200.
The previous prime is 1257220242431. The next prime is 1257220242463. The reversal of 1257220242432 is 2342420227521.
1257220242432 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 220 + 2 + 424 + 3 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (792).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1257220242431) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203661298 + ... + 203667470.
Almost surely, 21257220242432 is an apocalyptic number.
1257220242432 is a gapful number since it is divisible by the number (12) 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 1257220242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359952254296).
1257220242432 is an abundant number, since it is smaller than the sum of its proper divisors (3462684266160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1257220242432 is a wasteful number, since it uses less digits than its factorization.
1257220242432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6265 (or 6237 counting only the distinct ones).
The product of its (nonzero) digits is 107520, while the sum is 36.
Adding to 1257220242432 its reverse (2342420227521), we get a palindrome (3599640469953).
The spelling of 1257220242432 in words is "one trillion, two hundred fifty-seven billion, two hundred twenty million, two hundred forty-two thousand, four hundred thirty-two".
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