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14140131204204 = 22327113814005889
BaseRepresentation
bin1100110111000100000101…
…1111110101110001101100
31212001210011001111200211200
43031301001133311301230
53323132442042013304
650023515301045500
72656406430054315
oct315610137656154
955053131450750
1014140131204204
114561883483455
1217045513b6890
137b7540a63865
1436c55929160c
15197c3d3d9e39
hexcdc417f5c6c

14140131204204 has 72 divisors (see below), whose sum is σ = 36272789148960. Its totient is φ = 4643625369600.

The previous prime is 14140131204169. The next prime is 14140131204263. The reversal of 14140131204204 is 40240213104141.

14140131204204 is a `hidden beast` number, since 1 + 4 + 1 + 401 + 31 + 20 + 4 + 204 = 666.

It is a super-3 number, since 3×141401312042043 (a number of 40 digits) contains 333 as substring.

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, 1526892 + ... + 5532780.

It is an arithmetic number, because the mean of its divisors is an integer number (503788738180).

Almost surely, 214140131204204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14140131204204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136394574480).

14140131204204 is an abundant number, since it is smaller than the sum of its proper divisors (22132657944756).

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

14140131204204 is a wasteful number, since it uses less digits than its factorization.

14140131204204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007351 (or 4007346 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14140131204204 its reverse (40240213104141), we get a palindrome (54380344308345).

The spelling of 14140131204204 in words is "fourteen trillion, one hundred forty billion, one hundred thirty-one million, two hundred four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 1381 2556 2762 4143 5524 8286 12429 16572 24858 49716 98051 196102 294153 392204 588306 882459 1176612 1764918 3529836 4005889 8011778 12017667 16023556 24035334 36053001 48070668 72106002 144212004 284418119 568836238 853254357 1137672476 1706508714 2559763071 3413017428 5119526142 5532132709 10239052284 11064265418 16596398127 22128530836 33192796254 49789194381 66385592508 99578388762 199156777524 392781422339 785562844678 1178344267017 1571125689356 2356688534034 3535032801051 4713377068068 7070065602102 14140131204204