Search a number
-
+
42361201014 = 23117138323603
BaseRepresentation
bin100111011100111011…
…001010000101110110
311001100020001222100220
4213130323022011312
51143223431413024
631243243315210
73026515160526
oct473473120566
9131306058326
1042361201014
1116a68880340
12826281bb06
133cc1305222
14209c00b686
15117de46e79
hex9dceca176

42361201014 has 64 divisors (see below), whose sum is σ = 93974888448. Its totient is φ = 12622349600.

The previous prime is 42361201013. The next prime is 42361201031. The reversal of 42361201014 is 41010216324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42361201013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1782937 + ... + 1806539.

It is an arithmetic number, because the mean of its divisors is an integer number (1468357632).

Almost surely, 242361201014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42361201014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46987444224).

42361201014 is an abundant number, since it is smaller than the sum of its proper divisors (51613687434).

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

42361201014 is a wasteful number, since it uses less digits than its factorization.

42361201014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24073.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42361201014 its reverse (41010216324), we get a palindrome (83371417338).

The spelling of 42361201014 in words is "forty-two billion, three hundred sixty-one million, two hundred one thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 383 426 766 781 1149 1562 2298 2343 4213 4686 8426 12639 23603 25278 27193 47206 54386 70809 81579 141618 163158 259633 299123 519266 598246 778899 897369 1557798 1675813 1794738 3351626 5027439 9039949 10054878 18079898 18433943 27119847 36867886 54239694 55301829 99439439 110603658 198878878 298318317 596636634 641836379 1283672758 1925509137 3851018274 7060200169 14120400338 21180600507 42361201014