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42114000132 = 223223471082177
BaseRepresentation
bin100111001110001100…
…001010010100000100
311000200222220212111200
4213032030022110010
51142222141001012
631202533102500
73020424044331
oct471614122404
9130628825450
1042114000132
1116951289696
1281b3a87a30
133c82032909
14207725d988
1511673b73dc
hex9ce30a504

42114000132 has 72 divisors (see below), whose sum is σ = 113446884096. Its totient is φ = 13141945344.

The previous prime is 42114000121. The next prime is 42114000139. The reversal of 42114000132 is 23100041124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42114000139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502173 + ... + 580004.

It is an arithmetic number, because the mean of its divisors is an integer number (1575651168).

Almost surely, 242114000132 is an apocalyptic number.

It is an amenable number.

42114000132 is an abundant number, since it is smaller than the sum of its proper divisors (71332883964).

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

42114000132 is a wasteful number, since it uses less digits than its factorization.

42114000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082257 (or 1082252 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42114000132 its reverse (23100041124), we get a palindrome (65214041256).

The spelling of 42114000132 in words is "forty-two billion, one hundred fourteen million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 138 141 188 207 276 282 414 423 564 828 846 1081 1692 2162 3243 4324 6486 9729 12972 19458 38916 1082177 2164354 3246531 4328708 6493062 9739593 12986124 19479186 24890071 38958372 49780142 50862319 74670213 99560284 101724638 149340426 152586957 203449276 224010639 298680852 305173914 448021278 457760871 610347828 896042556 915521742 1169833337 1831043484 2339666674 3509500011 4679333348 7019000022 10528500033 14038000044 21057000066 42114000132