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2534143104 = 27333971847
BaseRepresentation
bin1001011100001011…
…1111010010000000
320112121102210211000
42113002333102000
520142220034404
61055243252000
7116540601213
oct22702772200
96477383730
102534143104
111090504249
125a881a000
1331502517c
141a07bb77a
15ec722339
hex970bf480

2534143104 has 128 divisors (see below), whose sum is σ = 7502140800. Its totient is φ = 842130432.

The previous prime is 2534143091. The next prime is 2534143111. The reversal of 2534143104 is 4013414352.

It is a happy number.

2534143104 is a `hidden beast` number, since 2 + 5 + 341 + 4 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1371109 + ... + 1372955.

It is an arithmetic number, because the mean of its divisors is an integer number (58610475).

Almost surely, 22534143104 is an apocalyptic number.

2534143104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751070400).

2534143104 is an abundant number, since it is smaller than the sum of its proper divisors (4967997696).

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

2534143104 is a wasteful number, since it uses less digits than its factorization.

2534143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2534143104 is about 50340.2731816187. The cubic root of 2534143104 is about 1363.3594685494.

Adding to 2534143104 its reverse (4013414352), we get a palindrome (6547557456).

The spelling of 2534143104 in words is "two billion, five hundred thirty-four million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 397 432 576 794 864 1152 1191 1588 1728 1847 2382 3176 3456 3573 3694 4764 5541 6352 7146 7388 9528 10719 11082 12704 14292 14776 16623 19056 21438 22164 25408 28584 29552 33246 38112 42876 44328 49869 50816 57168 59104 66492 76224 85752 88656 99738 114336 118208 132984 152448 171504 177312 199476 228672 236416 265968 343008 354624 398952 457344 531936 686016 709248 733259 797904 1063872 1372032 1466518 1595808 2127744 2199777 2933036 3191616 4399554 5866072 6383232 6599331 8799108 11732144 13198662 17598216 19797993 23464288 26397324 35196432 39595986 46928576 52794648 70392864 79191972 93857152 105589296 140785728 158383944 211178592 281571456 316767888 422357184 633535776 844714368 1267071552 2534143104