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42041201120 = 255509516223
BaseRepresentation
bin100111001001110110…
…011101000111100000
311000111220221022000222
4213021312131013200
51142100021413440
631151412502212
73015551212322
oct471166350740
9130456838028
1042041201120
1116914186716
12819361a968
133c6cc24089
14206b70d612
151160cd72b5
hex9c9d9d1e0

42041201120 has 48 divisors (see below), whose sum is σ = 99517662720. Its totient is φ = 16783409664.

The previous prime is 42041201113. The next prime is 42041201141. The reversal of 42041201120 is 2110214024.

42041201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420412011202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176672 + ... + 339551.

It is an arithmetic number, because the mean of its divisors is an integer number (2073284640).

Almost surely, 242041201120 is an apocalyptic number.

42041201120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42041201120 is an abundant number, since it is smaller than the sum of its proper divisors (57476461600).

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

42041201120 is a wasteful number, since it uses less digits than its factorization.

42041201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516747 (or 516739 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 42041201120 its reverse (2110214024), we get a palindrome (44151415144).

The spelling of 42041201120 in words is "forty-two billion, forty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 509 1018 2036 2545 4072 5090 8144 10180 16288 20360 40720 81440 516223 1032446 2064892 2581115 4129784 5162230 8259568 10324460 16519136 20648920 41297840 82595680 262757507 525515014 1051030028 1313787535 2102060056 2627575070 4204120112 5255150140 8408240224 10510300280 21020600560 42041201120