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10140003342 = 23273112720441
BaseRepresentation
bin10010111000110010…
…00010110000001110
3222011200012112121100
421130121002300032
5131231320101332
64354103243530
7506164414650
oct113431026016
928150175540
1010140003342
114333849657
121b6ba495a6
13c579c91a1
146c29a86d0
153e531567c
hex25c642c0e

10140003342 has 96 divisors (see below), whose sum is σ = 26123894784. Its totient is φ = 2781475200.

The previous prime is 10140003331. The next prime is 10140003347. The reversal of 10140003342 is 24330004101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140003347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485842 + ... + 506282.

It is an arithmetic number, because the mean of its divisors is an integer number (272123904).

Almost surely, 210140003342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140003342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061947392).

10140003342 is an abundant number, since it is smaller than the sum of its proper divisors (15983891442).

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

10140003342 is a wasteful number, since it uses less digits than its factorization.

10140003342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20614 (or 20611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10140003342 its reverse (24330004101), we get a palindrome (34470007443).

The spelling of 10140003342 in words is "ten billion, one hundred forty million, three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 127 186 217 254 279 381 434 558 651 762 889 1143 1302 1778 1953 2286 2667 3906 3937 5334 7874 8001 11811 16002 20441 23622 27559 35433 40882 55118 61323 70866 82677 122646 143087 165354 183969 248031 286174 367938 429261 496062 633671 858522 1267342 1287783 1901013 2575566 2596007 3802026 4435697 5192014 5703039 7788021 8871394 11406078 13307091 15576042 18172049 23364063 26614182 36344098 39921273 46728126 54516147 79842546 80476217 109032294 160952434 163548441 241428651 327096882 482857302 563333519 724285953 1126667038 1448571906 1690000557 3380001114 5070001671 10140003342