Base | Representation |
---|---|
bin | 10000001111101000111111… |
… | …00010110110011000000000 |
3 | 11200110222010201121011121110 |
4 | 20013310133202312120000 |
5 | 14140231142142331034 |
6 | 203550204451323320 |
7 | 10344545550026460 |
oct | 1007643742663000 |
9 | 150428121534543 |
10 | 35721772230144 |
11 | 10422578182a40 |
12 | 400b1512b0540 |
13 | 16c1719564260 |
14 | 8b6d2b847ba0 |
15 | 41e312bddde9 |
hex | 207d1f8b6600 |
35721772230144 has 640 divisors, whose sum is σ = 128323704757248. Its totient is φ = 8527816949760.
The previous prime is 35721772230107. The next prime is 35721772230163. The reversal of 35721772230144 is 44103227712753.
It is a happy number.
It is a super-2 number, since 2×357217722301442 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 35721772230093 and 35721772230102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358196032 + ... + 358295744.
Almost surely, 235721772230144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 35721772230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64161852378624).
35721772230144 is an abundant number, since it is smaller than the sum of its proper divisors (92601932527104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35721772230144 is a wasteful number, since it uses less digits than its factorization.
35721772230144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 99998 (or 99982 counting only the distinct ones).
The product of its (nonzero) digits is 1975680, while the sum is 48.
Adding to 35721772230144 its reverse (44103227712753), we get a palindrome (79824999942897).
The spelling of 35721772230144 in words is "thirty-five trillion, seven hundred twenty-one billion, seven hundred seventy-two million, two hundred thirty thousand, one hundred forty-four".
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