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42025014760 = 2352941883621
BaseRepresentation
bin100111001000111000…
…101101010111101000
311000110210110221112011
4213020320231113220
51142031400433020
631150033525304
73015263505631
oct471070552750
9130423427464
1042025014760
1116906030663
12818a113834
133c69777751
1420694d8888
15115e68b35a
hex9c8e2d5e8

42025014760 has 64 divisors (see below), whose sum is σ = 100202734800. Its totient is φ = 15834470400.

The previous prime is 42025014749. The next prime is 42025014761. The reversal of 42025014760 is 6741052024.

42025014760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1123188196 + 40901826564 = 33514^2 + 202242^2 .

It is a super-2 number, since 2×420250147602 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42025014761) 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, 394251 + ... + 489370.

Almost surely, 242025014760 is an apocalyptic number.

42025014760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42025014760 is an abundant number, since it is smaller than the sum of its proper divisors (58177720040).

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

42025014760 is a wasteful number, since it uses less digits than its factorization.

42025014760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883702 (or 883698 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 42025014760 its reverse (6741052024), we get a palindrome (48766066784).

The spelling of 42025014760 in words is "forty-two billion, twenty-five million, fourteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9512 11890 23780 47560 883621 1767242 3534484 4418105 7068968 8836210 17672420 25625009 35344840 36228461 51250018 72456922 102500036 128125045 144913844 181142305 205000072 256250090 289827688 362284610 512500180 724569220 1025000360 1050625369 1449138440 2101250738 4202501476 5253126845 8405002952 10506253690 21012507380 42025014760