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2014042140 = 22325111017193
BaseRepresentation
bin111100000001011…
…1101100000011100
312012100202221102100
41320002331200130
513111043322030
6531503525100
7100624034655
oct17002754034
95170687370
102014042140
11943968740
124825b9790
13261352a16
141516b252c
15bbc38360
hex780bd81c

2014042140 has 72 divisors (see below), whose sum is σ = 6664655088. Its totient is φ = 488252160.

The previous prime is 2014042109. The next prime is 2014042169. The reversal of 2014042140 is 412404102.

2014042140 is a `hidden beast` number, since 201 + 4 + 0 + 421 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506617 + ... + 510576.

It is an arithmetic number, because the mean of its divisors is an integer number (92564654).

Almost surely, 22014042140 is an apocalyptic number.

2014042140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014042140 is an abundant number, since it is smaller than the sum of its proper divisors (4650612948).

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

2014042140 is a wasteful number, since it uses less digits than its factorization.

2014042140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017219 (or 1017214 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2014042140 is about 44878.0808413194. The cubic root of 2014042140 is about 1262.8628403889.

Adding to 2014042140 its reverse (412404102), we get a palindrome (2426446242).

The spelling of 2014042140 in words is "two billion, fourteen million, forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1017193 2034386 3051579 4068772 5085965 6103158 9154737 10171930 11189123 12206316 15257895 18309474 20343860 22378246 30515790 33567369 36618948 44756492 45773685 55945615 61031580 67134738 91547370 100702107 111891230 134269476 167836845 183094740 201404214 223782460 335673690 402808428 503510535 671347380 1007021070 2014042140