Search a number
-
+
134022214123542 = 23217953345943679
BaseRepresentation
bin11110011110010001111010…
…011101110000000000010110
3122120112101202112111101110100
4132132101322131300000112
5120031304443303423132
61153012542153434530
740141533255513303
oct3636217235600026
9576471675441410
10134022214123542
1139781557a14688
12130464a040ba46
1359a2318693604
1425149d189a0aa
15107635a87b37c
hex79e47a770016

134022214123542 has 48 divisors (see below), whose sum is σ = 307494985674240. Its totient is φ = 42041773314816.

The previous prime is 134022214123541. The next prime is 134022214123619. The reversal of 134022214123542 is 245321412220431.

134022214123542 is a `hidden beast` number, since 1 + 3 + 40 + 2 + 221 + 41 + 2 + 354 + 2 = 666.

It is a super-4 number, since 4×1340222141235424 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134022214123497 and 134022214123506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134022214123541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20054742 + ... + 25888937.

It is an arithmetic number, because the mean of its divisors is an integer number (6406145534880).

Almost surely, 2134022214123542 is an apocalyptic number.

134022214123542 is an abundant number, since it is smaller than the sum of its proper divisors (173472771550698).

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

134022214123542 is a wasteful number, since it uses less digits than its factorization.

134022214123542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45953237 (or 45953234 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 134022214123542 its reverse (245321412220431), we get a palindrome (379343626343973).

The spelling of 134022214123542 in words is "one hundred thirty-four trillion, twenty-two billion, two hundred fourteen million, one hundred twenty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 9533 19066 28599 57198 85797 162061 171594 324122 486183 972366 1458549 2917098 45943679 91887358 137831037 275662074 413493111 781042543 826986222 1562085086 2343127629 4686255258 7029382887 14058765774 437981091907 875962183814 1313943275721 2627886551442 3941829827163 7445678562419 7883659654326 14891357124838 22337035687257 44674071374514 67011107061771 134022214123542