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134027041684224 = 2831337362815753
BaseRepresentation
bin11110011110010110011010…
…001101011011101100000000
3122120112212012222101212202010
4132132112122031123230000
5120031344340132343344
61153015101205052520
740142064015222243
oct3636263215335400
9576485188355663
10134027041684224
1139783604a53457
12130474090b7140
1359a29078977b0
142514d2cab125a
15107653e5be8b9
hex79e59a35bb00

134027041684224 has 144 divisors (see below), whose sum is σ = 394528753425632. Its totient is φ = 40124519645184.

The previous prime is 134027041684201. The next prime is 134027041684297. The reversal of 134027041684224 is 422486140720431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181038469 + ... + 181777284.

Almost surely, 2134027041684224 is an apocalyptic number.

It is an amenable number.

134027041684224 is an abundant number, since it is smaller than the sum of its proper divisors (260501711741408).

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

134027041684224 is a wasteful number, since it uses less digits than its factorization.

134027041684224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362815822 (or 362815808 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 134027041684224 in words is "one hundred thirty-four trillion, twenty-seven billion, forty-one million, six hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 592 624 768 832 888 962 1184 1248 1443 1664 1776 1924 2368 2496 2886 3328 3552 3848 4736 4992 5772 7104 7696 9472 9984 11544 14208 15392 23088 28416 30784 46176 61568 92352 123136 184704 369408 362815753 725631506 1088447259 1451263012 2176894518 2902526024 4353789036 4716604789 5805052048 8707578072 9433209578 11610104096 13424182861 14149814367 17415156144 18866419156 23220208192 26848365722 28299628734 34830312288 37732838312 40272548583 46440416384 53696731444 56599257468 69660624576 75465676624 80545097166 92880832768 107393462888 113198514936 139321249152 150931353248 161090194332 174514377193 214786925776 226397029872 278642498304 301862706496 322180388664 349028754386 429573851552 452794059744 523543131579 603725412992 644360777328 698057508772 859147703104 905588119488 1047086263158 1207450825984 1288721554656 1396115017544 1718295406208 1811176238976 2094172526316 2577443109312 2792230035088 3436590812416 3622352477952 4188345052632 5154886218624 5584460070176 8376690105264 10309772437248 11168920140352 16753380210528 22337840280704 33506760421056 44675680561408 67013520842112 134027041684224