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10014140214 = 23313109130873
BaseRepresentation
bin10010101001110001…
…11010011100110110
3221211220101000212000
421110320322130312
5131002104441324
64333405440130
7503105534031
oct112470723466
927756330760
1010014140214
1142797a2841
121b35870046
13c378cb670
146adda4018
153d92529c9
hex254e3a736

10014140214 has 64 divisors (see below), whose sum is σ = 24185515200. Its totient is φ = 3052982016.

The previous prime is 10014140113. The next prime is 10014140231. The reversal of 10014140214 is 41204141001.

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 31 ways as a sum of consecutive naturals, for example, 11082 + ... + 141954.

It is an arithmetic number, because the mean of its divisors is an integer number (377898675).

Almost surely, 210014140214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014140214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092757600).

10014140214 is an abundant number, since it is smaller than the sum of its proper divisors (14171374986).

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

10014140214 is a wasteful number, since it uses less digits than its factorization.

10014140214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131006 (or 131000 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10014140214 its reverse (41204141001), we get a palindrome (51218281215).

The spelling of 10014140214 in words is "ten billion, fourteen million, one hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 109 117 218 234 327 351 654 702 981 1417 1962 2834 2943 4251 5886 8502 12753 25506 38259 76518 130873 261746 392619 785238 1177857 1701349 2355714 3402698 3533571 5104047 7067142 10208094 14265157 15312141 28530314 30624282 42795471 45936423 85590942 91872846 128386413 185447041 256772826 370894082 385159239 556341123 770318478 1112682246 1669023369 3338046738 5007070107 10014140214