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142120104403212 = 223213597789660809
BaseRepresentation
bin100000010100000111101010…
…010101101010000100001100
3200122012112211102201020100100
4200110013222111222010030
5122111443433211400322
61222133024042131100
741635560450261105
oct4024075225520414
9618175742636310
10142120104403212
11413138859658a1
1213b339b34b0a90
13613bb39984b80
142714914cdd3ac
151166d0b6e3dac
hex8141ea56a10c

142120104403212 has 144 divisors (see below), whose sum is σ = 393490944756000. Its totient is φ = 42982504823808.

The previous prime is 142120104403181. The next prime is 142120104403237. The reversal of 142120104403212 is 212304401021241.

142120104403212 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 2 + 0 + 1 + 0 + 440 + 3 + 212 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214739464 + ... + 215400272.

It is an arithmetic number, because the mean of its divisors is an integer number (2732576005250).

Almost surely, 2142120104403212 is an apocalyptic number.

142120104403212 is a gapful number since it is divisible by the number (12) 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 142120104403212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196745472378000).

142120104403212 is an abundant number, since it is smaller than the sum of its proper divisors (251370840352788).

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

142120104403212 is a wasteful number, since it uses less digits than its factorization.

142120104403212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668680 (or 668675 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 142120104403212 its reverse (212304401021241), we get a palindrome (354424505424453).

The spelling of 142120104403212 in words is "one hundred forty-two trillion, one hundred twenty billion, one hundred four million, four hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 4602 6903 7789 9204 13806 15578 23367 27612 31156 46734 70101 93468 101257 140202 202514 280404 303771 405028 459551 607542 660809 911313 919102 1215084 1321618 1378653 1822626 1838204 1982427 2643236 2757306 3645252 3964854 4135959 5514612 5947281 5974163 7929708 8271918 8590517 11894562 11948326 16543836 17181034 17922489 23789124 23896652 25771551 34362068 35844978 38987731 51543102 53767467 71689956 77314653 77975462 103086204 107534934 116963193 154629306 155950924 215069868 233926386 309258612 350889579 467852772 506840503 701779158 1013681006 1403558316 1520521509 2027362012 3041043018 4561564527 5147041301 6082086036 9123129054 10294082602 15441123903 18246258108 20588165204 30882247806 46323371709 61764495612 66911536913 92646743418 133823073826 185293486836 200734610739 267646147652 303675436759 401469221478 602203832217 607350873518 802938442956 911026310277 1204407664434 1214701747036 1822052620554 2408815328868 2733078930831 3644105241108 3947780677867 5466157861662 7895561355734 10932315723324 11843342033601 15791122711468 23686684067202 35530026100803 47373368134404 71060052201606 142120104403212