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2140004414142 = 23471887129113
BaseRepresentation
bin11111001001000010001…
…100111111001010111110
321120120201120211222210000
4133021002030333022332
5240030212112223032
64315034321255130
7310416206250420
oct37110214771276
97516646758700
102140004414142
1175563077a381
122a68b71944a6
13126a5601058a
147581090a810
153a9ee2c1e7c
hex1f24233f2be

2140004414142 has 40 divisors (see below), whose sum is σ = 5480222947056. Its totient is φ = 611429832288.

The previous prime is 2140004414137. The next prime is 2140004414147. The reversal of 2140004414142 is 2414144000412.

It is a happy number.

2140004414142 is a `hidden beast` number, since 2 + 140 + 0 + 0 + 441 + 41 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (2140004414137) and next prime (2140004414147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140004414147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 943563423 + ... + 943565690.

Almost surely, 22140004414142 is an apocalyptic number.

2140004414142 is an abundant number, since it is smaller than the sum of its proper divisors (3340218532914).

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

2140004414142 is a wasteful number, since it uses less digits than its factorization.

2140004414142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887129134 (or 1887129125 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2140004414142 its reverse (2414144000412), we get a palindrome (4554148414554).

The spelling of 2140004414142 in words is "two trillion, one hundred forty billion, four million, four hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1887129113 3774258226 5661387339 11322774678 13209903791 16984162017 26419807582 33968324034 39629711373 50952486051 79259422746 101904972102 118889134119 152857458153 237778268238 305714916306 356667402357 713334804714 1070002207071 2140004414142