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14132022636213 = 32176173130315919
BaseRepresentation
bin1100110110100101111000…
…1100000110111010110101
31212001000012221210202122200
43031221132030012322311
53323014340243324323
650020054522215113
72656001460265356
oct315513614067265
955030187722580
1014132022636213
1145593a23a2299
121702a69954499
137b684ab9a131
1436bdca405d2d
151979165e6443
hexcda5e306eb5

14132022636213 has 96 divisors (see below), whose sum is σ = 22287426370560. Its totient is φ = 8595169873920.

The previous prime is 14132022636209. The next prime is 14132022636293. The reversal of 14132022636213 is 31263622023141.

14132022636213 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 2 + 0 + 2 + 2 + 636 + 2 + 13 = 666.

It is not a de Polignac number, because 14132022636213 - 22 = 14132022636209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14132022636293) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 887737668 + ... + 887753586.

It is an arithmetic number, because the mean of its divisors is an integer number (232160691360).

Almost surely, 214132022636213 is an apocalyptic number.

It is an amenable number.

14132022636213 is a deficient number, since it is larger than the sum of its proper divisors (8155403734347).

14132022636213 is a wasteful number, since it uses less digits than its factorization.

14132022636213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17379 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 14132022636213 its reverse (31263622023141), we get a palindrome (45395644659354).

The spelling of 14132022636213 in words is "fourteen trillion, one hundred thirty-two billion, twenty-two million, six hundred thirty-six thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 61 73 153 183 219 549 657 1037 1241 1303 3111 3723 3909 4453 9333 11169 11727 13359 15919 22151 40077 47757 66453 75701 79483 95119 143271 199359 227103 238449 270623 285357 681309 715347 811869 856071 971059 1162087 1351211 1617023 2435607 2913177 3486261 4053633 4851069 5802259 8739531 10458783 12160899 14553207 16508003 17406777 19755479 20742457 49524009 52220331 59266437 62227371 70887307 98638403 148572027 177799311 186682113 212661921 295915209 352621769 637985763 887745627 1057865307 1205084219 1265289877 1514199361 3173595921 3615252657 3795869631 4542598083 10845757971 11387608893 13627794249 21509927909 25741389137 64529783727 77224167411 92366161021 193589351181 231672502233 277098483063 831295449189 1570224737357 4710674212071 14132022636213