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120130444434 = 237111387722807
BaseRepresentation
bin110111111100001010…
…1010001110010010010
3102111002002121212121210
41233320111101302102
53432011343210214
6131104232200550
711451641633610
oct1577025216222
9374062555553
10120130444434
1146a4655aa40
121b347539156
13b43622a220
145b587c06b0
1531d1670b59
hex1bf8551c92

120130444434 has 128 divisors (see below), whose sum is σ = 322970038272. Its totient is φ = 28768400640.

The previous prime is 120130444433. The next prime is 120130444439. The reversal of 120130444434 is 434444031021.

It is not an unprimeable number, because it can be changed into a prime (120130444433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5255859 + ... + 5278665.

It is an arithmetic number, because the mean of its divisors is an integer number (2523203424).

Almost surely, 2120130444434 is an apocalyptic number.

120130444434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130444434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161485019136).

120130444434 is an abundant number, since it is smaller than the sum of its proper divisors (202839593838).

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

120130444434 is a wasteful number, since it uses less digits than its factorization.

120130444434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23720.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 120130444434 its reverse (434444031021), we get a palindrome (554574475455).

The spelling of 120130444434 in words is "one hundred twenty billion, one hundred thirty million, four hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 877 1001 1754 2002 2631 3003 5262 6006 6139 9647 11401 12278 18417 19294 22802 22807 28941 34203 36834 45614 57882 67529 68406 68421 79807 125411 135058 136842 159614 159649 202587 239421 250822 250877 296491 319298 376233 405174 478842 478947 501754 592982 752466 752631 877877 889473 957894 1505262 1755754 1756139 1778946 2075437 2633631 3261401 3512278 4150874 5267262 5268417 6226311 6522802 9784203 10536834 12452622 19568406 20001739 22829807 40003478 45659614 60005217 68489421 120010434 136978842 140012173 220019129 260022607 280024346 420036519 440038258 520045214 660057387 780067821 840073038 1320114774 1540133903 1560135642 1820158249 2860248677 3080267806 3640316498 4620401709 5460474747 5720497354 8580746031 9240803418 10920949494 17161492062 20021740739 40043481478 60065222217 120130444434