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142946671392 = 2532731447063
BaseRepresentation
bin1000010100100001001…
…0010001101100100000
3111122222012101021222200
42011020102101230200
54320223321441032
6145400243133200
713220231442000
oct2051022215440
9448865337880
10142946671392
115569473aa58
1223854674200
13106311c4035
146cc0b12000
153ab977e47c
hex2148491b20

142946671392 has 144 divisors (see below), whose sum is σ = 474058166400. Its totient is φ = 40841877888.

The previous prime is 142946671367. The next prime is 142946671409. The reversal of 142946671392 is 293176649241.

142946671392 is a `hidden beast` number, since 1 + 4 + 29 + 466 + 71 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624748 + ... + 822315.

It is an arithmetic number, because the mean of its divisors is an integer number (3292070600).

Almost surely, 2142946671392 is an apocalyptic number.

142946671392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142946671392 is an abundant number, since it is smaller than the sum of its proper divisors (331111495008).

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

142946671392 is a wasteful number, since it uses less digits than its factorization.

142946671392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447100 (or 1447075 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 142946671392 in words is "one hundred forty-two billion, nine hundred forty-six million, six hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 16464 24696 32928 49392 98784 1447063 2894126 4341189 5788252 8682378 10129441 11576504 13023567 17364756 20258882 23153008 26047134 30388323 34729512 40517764 46306016 52094268 60776646 69459024 70906087 81035528 91164969 104188536 121553292 138918048 141812174 162071056 182329938 208377072 212718261 243106584 283624348 324142112 364659876 416754144 425436522 486213168 496342609 567248696 638154783 729319752 850873044 972426336 992685218 1134497392 1276309566 1458639504 1489027827 1701746088 1985370436 2268994784 2552619132 2917279008 2978055654 3403492176 3970740872 4467083481 5105238264 5956111308 6806984352 7941481744 8934166962 10210476528 11912222616 15882963488 17868333924 20420953056 23824445232 35736667848 47648890464 71473335696 142946671392