Base | Representation |
---|---|
bin | 11110110001100100010… |
… | …10001101010100011110 |
3 | 10202002100021012221100000 |
4 | 33120302022031110132 |
5 | 114311030243212424 |
6 | 2125433042315130 |
7 | 136252305244311 |
oct | 17306212152436 |
9 | 3662307187300 |
10 | 1057403491614 |
11 | 378495782858 |
12 | 150b22358aa6 |
13 | 78935b06122 |
14 | 39270126978 |
15 | 1c78b0783c9 |
hex | f63228d51e |
1057403491614 has 96 divisors (see below), whose sum is σ = 2458640096640. Its totient is φ = 340200453600.
The previous prime is 1057403491591. The next prime is 1057403491663. The reversal of 1057403491614 is 4161943047501.
1057403491614 is a `hidden beast` number, since 10 + 57 + 40 + 3 + 491 + 61 + 4 = 666.
1057403491614 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×10574034916143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a self number, because there is not a number n which added to its sum of digits gives 1057403491614.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49191409 + ... + 49212899.
It is an arithmetic number, because the mean of its divisors is an integer number (25610834340).
Almost surely, 21057403491614 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1057403491614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229320048320).
1057403491614 is an abundant number, since it is smaller than the sum of its proper divisors (1401236605026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1057403491614 is a wasteful number, since it uses less digits than its factorization.
1057403491614 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25028 (or 25016 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 1057403491614 in words is "one trillion, fifty-seven billion, four hundred three million, four hundred ninety-one thousand, six hundred fourteen".
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