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42432212310020 = 22513197977847933
BaseRepresentation
bin10011010010111100001001…
…11100010001100000000100
312120020110221211111010110122
421221132010330101200010
521030202132322410040
6230125031135041112
711636424530421101
oct1151360474214004
9176213854433418
1042432212310020
111257a444709575
124913792070198
131a8a456c83a30
14a69a312d9aa8
154d8b5c56b1b5
hex269784f11804

42432212310020 has 96 divisors (see below), whose sum is σ = 96548030919648. Its totient is φ = 15571775987712.

The previous prime is 42432212310011. The next prime is 42432212310023. The reversal of 42432212310020 is 2001321223424.

It can be written as a sum of positive squares in 16 ways, for example, as 3164869464064 + 39267342845956 = 1779008^2 + 6266366^2 .

It is a super-2 number, since 2×424322123100202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (42432212310023) 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, 49617974 + ... + 50465906.

It is an arithmetic number, because the mean of its divisors is an integer number (1005708655413).

Almost surely, 242432212310020 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 42432212310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48274015459824).

42432212310020 is an abundant number, since it is smaller than the sum of its proper divisors (54115818609628).

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

42432212310020 is a wasteful number, since it uses less digits than its factorization.

42432212310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849129 (or 849127 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42432212310020 its reverse (2001321223424), we get a palindrome (44433533533444).

The spelling of 42432212310020 in words is "forty-two trillion, four hundred thirty-two billion, two hundred twelve million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 977 985 1954 1970 2561 3908 3940 4885 5122 9770 10244 12701 12805 19540 25402 25610 50804 51220 63505 127010 192469 254020 384938 769876 847933 962345 1695866 1924690 2502097 3391732 3849380 4239665 5004194 8479330 10008388 11023129 12510485 16958660 22046258 25020970 44092516 50041940 55115645 110231290 167042801 220462580 334085602 668171204 828430541 835214005 1656861082 1670428010 2171556413 3313722164 3340856020 4142152705 4343112826 8284305410 8686225652 10769597033 10857782065 16568610820 21539194066 21715564130 43078388132 43431128260 53847985165 107695970330 163200816577 215391940660 326401633154 652803266308 816004082885 1632008165770 2121610615501 3264016331540 4243221231002 8486442462004 10608053077505 21216106155010 42432212310020