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134366114213214 = 231367347491150907
BaseRepresentation
bin11110100011010010001100…
…100000011110110101011110
3122121202021102112012000221120
4132203102030200132311132
5120102423300214310324
61153434535110111410
740205426366163402
oct3643221440366536
9577667375160846
10134366114213214
11398a4392613024
12130a107794b566
1359c8893584430
1425274d7153102
15108028710e179
hex7a348c81ed5e

134366114213214 has 128 divisors (see below), whose sum is σ = 295171759798272. Its totient is φ = 40526011532160.

The previous prime is 134366114213183. The next prime is 134366114213249. The reversal of 134366114213214 is 412312411663431.

134366114213214 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1343661142132143 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890314749 + ... + 890465655.

It is an arithmetic number, because the mean of its divisors is an integer number (2306029373424).

Almost surely, 2134366114213214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134366114213214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147585879899136).

134366114213214 is an abundant number, since it is smaller than the sum of its proper divisors (160805645585058).

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

134366114213214 is a wasteful number, since it uses less digits than its factorization.

134366114213214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151830.

The product of its digits is 248832, while the sum is 42.

Adding to 134366114213214 its reverse (412312411663431), we get a palindrome (546678525876645).

The spelling of 134366114213214 in words is "one hundred thirty-four trillion, three hundred sixty-six billion, one hundred fourteen million, two hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 39 67 78 134 201 347 402 491 694 871 982 1041 1473 1742 2082 2613 2946 4511 5226 6383 9022 12766 13533 19149 23249 27066 32897 38298 46498 65794 69747 98691 139494 150907 170377 197382 301814 302237 340754 427661 452721 511131 604474 855322 905442 906711 1022262 1282983 1813422 1961791 2214901 2565966 3923582 4429802 5885373 6644703 10110769 11415259 11770746 13289406 20221538 22830518 30332307 34245777 52364729 60664614 68491554 74095337 104729458 131439997 148190674 148398367 157094187 222286011 262879994 296796734 314188374 394319991 444572022 445195101 680741477 788639982 890390202 963239381 1361482954 1926478762 2042224431 2889718143 3508436843 4084448862 4964387579 5779436286 7016873686 9928775158 10525310529 14893162737 21050621058 25711081939 29786325474 45609678959 51422163878 64537038527 77133245817 91219357918 129074077054 136829036877 154266491634 193611115581 273658073754 334244065207 387222231162 668488130414 1002732195621 1722642489913 2005464391242 3445284979826 5167927469739 10335854939478 22394352368869 44788704737738 67183057106607 134366114213214