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42431211032 = 2372982931517
BaseRepresentation
bin100111100001000110…
…001110011000011000
311001112002210212001112
4213201012032120120
51143344342223112
631254224035452
73031325225420
oct474106163030
9131462725045
1042431211032
1116aa4348961
128282162b88
134002978482
1420a7433480
151185175a22
hex9e118e618

42431211032 has 64 divisors (see below), whose sum is σ = 94175784000. Its totient is φ = 17536006656.

The previous prime is 42431210963. The next prime is 42431211037. The reversal of 42431211032 is 23011213424.

It is a super-3 number, since 3×424312110323 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42431210989 and 42431211007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42431211037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330538 + ... + 1362054.

It is an arithmetic number, because the mean of its divisors is an integer number (1471496625).

Almost surely, 242431211032 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 42431211032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47087892000).

42431211032 is an abundant number, since it is smaller than the sum of its proper divisors (51744572968).

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

42431211032 is a wasteful number, since it uses less digits than its factorization.

42431211032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32388 (or 32384 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 42431211032 its reverse (23011213424), we get a palindrome (65442424456).

The spelling of 42431211032 in words is "forty-two billion, four hundred thirty-one million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 829 1624 1658 3316 5803 6632 11606 23212 24041 31517 46424 48082 63034 96164 126068 168287 192328 220619 252136 336574 441238 673148 882476 913993 1346296 1764952 1827986 3655972 6397951 7311944 12795902 25591804 26127593 51183608 52255186 104510372 182893151 209020744 365786302 731572604 757700197 1463145208 1515400394 3030800788 5303901379 6061601576 10607802758 21215605516 42431211032