Search a number
-
+
134122386778884 = 2232722757412
BaseRepresentation
bin11110011111101111001101…
…001110000110101100000100
3122120212222022202000112022100
4132133233031032012230010
5120034430122003411014
61153130550205232100
740152010530160200
oct3637571516065404
9576788282015270
10134122386778884
113980aa91856249
1213061997b62630
1359ab8c0ba4b7a
1425197b5821b00
151078c6ed1d009
hex79fbcd386b04

134122386778884 has 81 divisors (see below), whose sum is σ = 394385115206901. Its totient is φ = 38320542963360.

The previous prime is 134122386778873. The next prime is 134122386778889. The reversal of 134122386778884 is 488877683221431.

The square root of 134122386778884 is 11581122.

It is a perfect power (a square), and thus also a powerful number.

134122386778884 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 22 + 386 + 77 + 88 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2325557900484 + 131796828878400 = 1524978^2 + 11480280^2 .

It is a super-3 number, since 3×1341223867788843 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (134122386778889) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 486269254 + ... + 486544994.

Almost surely, 2134122386778884 is an apocalyptic number.

134122386778884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

134122386778884 is the 11581122-nd square number.

It is an amenable number.

134122386778884 is an abundant number, since it is smaller than the sum of its proper divisors (260262728428017).

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

134122386778884 is an frugal number, since it uses more digits than its factorization.

134122386778884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551506 (or 275753 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 72.

The spelling of 134122386778884 in words is "one hundred thirty-four trillion, one hundred twenty-two billion, three hundred eighty-six million, seven hundred seventy-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 275741 551482 827223 1102964 1654446 1930187 2481669 3308892 3860374 4963338 5790561 7720748 9926676 11581122 13511309 17371683 23162244 27022618 34743366 40533927 54045236 69486732 81067854 121601781 162135708 243203562 486407124 76033099081 152066198162 228099297243 304132396324 456198594486 532231693567 684297891729 912397188972 1064463387134 1368595783458 1596695080701 2128926774268 2737191566916 3193390161402 3725621854969 4790085242103 6386780322804 7451243709938 9580170484206 11176865564907 14902487419876 19160340968412 22353731129814 33530596694721 44707462259628 67061193389442 134122386778884