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142131550551552 = 293230844520519
BaseRepresentation
bin100000010100010010010100…
…100101001111111000000000
3200122020122101010122211001100
4200110102110211033320000
5122112140403420122202
61222142155524534400
741636444215032012
oct4024222445177000
9618218333584040
10142131550551552
1141318719a19521
1213b36068851400
13613cc4215b003
1427152bd1481b2
15116727b51041c
hex81449494fe00

142131550551552 has 60 divisors (see below), whose sum is σ = 410201278395480. Its totient is φ = 47377183515648.

The previous prime is 142131550551527. The next prime is 142131550551559. The reversal of 142131550551552 is 255155055131241.

142131550551552 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 31 + 5 + 50 + 5 + 515 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142131550551498 and 142131550551507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142131550551559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15422255652 + ... + 15422264867.

It is an arithmetic number, because the mean of its divisors is an integer number (6836687973258).

Almost surely, 2142131550551552 is an apocalyptic number.

142131550551552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142131550551552 is an abundant number, since it is smaller than the sum of its proper divisors (268069727843928).

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

142131550551552 is an equidigital number, since it uses as much as digits as its factorization.

142131550551552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30844520543 (or 30844520524 counting only the distinct ones).

The product of its (nonzero) digits is 750000, while the sum is 45.

The spelling of 142131550551552 in words is "one hundred forty-two trillion, one hundred thirty-one billion, five hundred fifty million, five hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 30844520519 61689041038 92533561557 123378082076 185067123114 246756164152 277600684671 370134246228 493512328304 555201369342 740268492456 987024656608 1110402738684 1480536984912 1974049313216 2220805477368 2961073969824 3948098626432 4441610954736 5922147939648 7896197252864 8883221909472 11844295879296 15792394505728 17766443818944 23688591758592 35532887637888 47377183517184 71065775275776 142131550551552