Base | Representation |
---|---|
bin | 101111110000110110110101… |
… | …1000011111110010001010000 |
3 | 2001002120011001211200110011122 |
4 | 1133201231223003332101100 |
5 | 420031412200221143044 |
6 | 4045313335414101412 |
7 | 154331322562453616 |
oct | 13741555303762120 |
9 | 2032504054613148 |
10 | 420131202131024 |
11 | 11195970789467a |
12 | 3b1542a964a868 |
13 | 15057282795737 |
14 | 75a665c8976b6 |
15 | 338889b634dee |
hex | 17e1b6b0fe450 |
420131202131024 has 40 divisors (see below), whose sum is σ = 819193090552200. Its totient is φ = 208726547148288.
The previous prime is 420131202130979. The next prime is 420131202131033.
It is a happy number.
420131202131024 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 243005447631424 + 177125754499600 = 15588632^2 + 13308860^2 .
It is a junction number, because it is equal to n+sod(n) for n = 420131202130984 and 420131202131002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788936402 + ... + 789468750.
It is an arithmetic number, because the mean of its divisors is an integer number (20479827263805).
Almost surely, 2420131202131024 is an apocalyptic number.
It is an amenable number.
420131202131024 is a deficient number, since it is larger than the sum of its proper divisors (399061888421176).
420131202131024 is a wasteful number, since it uses less digits than its factorization.
420131202131024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 846687 (or 846681 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 26.
It can be divided in two parts, 42013120 and 2131024, that added together give a palindrome (44144144).
The spelling of 420131202131024 in words is "four hundred twenty trillion, one hundred thirty-one billion, two hundred two million, one hundred thirty-one thousand, twenty-four".
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