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6142510111104 = 273211657457411
BaseRepresentation
bin101100101100010101000…
…1000100001100110000000
3210202012220002110021202100
41121120222020201212000
51301114330042023404
621021455153150400
71202532061320513
oct131305210414600
923665802407670
106142510111104
111a59029906184
1283256225b400
1335730bc81523
14173428940d7a
15a9baa230d39
hex5962a221980

6142510111104 has 96 divisors (see below), whose sum is σ = 17677267653240. Its totient is φ = 2047323248640.

The previous prime is 6142510110959. The next prime is 6142510111151. The reversal of 6142510111104 is 4011110152416.

It is a happy number.

6142510111104 is a `hidden beast` number, since 6 + 1 + 42 + 510 + 1 + 1 + 1 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13200159 + ... + 13657569.

Almost surely, 26142510111104 is an apocalyptic number.

6142510111104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6142510111104 is an abundant number, since it is smaller than the sum of its proper divisors (11534757542136).

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

6142510111104 is a wasteful number, since it uses less digits than its factorization.

6142510111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469088 (or 469073 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 6142510111104 in words is "six trillion, one hundred forty-two billion, five hundred ten million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11657 23314 34971 46628 69942 93256 104913 139884 186512 209826 279768 373024 419652 457411 559536 746048 839304 914822 1119072 1372233 1492096 1678608 1829644 2238144 2744466 3357216 3659288 4116699 4476288 5488932 6714432 7318576 8233398 10977864 13428864 14637152 16466796 21955728 29274304 32933592 43911456 58548608 65867184 87822912 131734368 175645824 263468736 526937472 5332040027 10664080054 15996120081 21328160108 31992240162 42656320216 47988360243 63984480324 85312640432 95976720486 127968960648 170625280864 191953440972 255937921296 341250561728 383906881944 511875842592 682501123456 767813763888 1023751685184 1535627527776 2047503370368 3071255055552 6142510111104