Search a number
-
+
4042200234030 = 235779345770481
BaseRepresentation
bin111010110100100101111…
…010001011100000101110
3112022102121212212201002220
4322310211322023200232
51012211411224442110
612332543335300210
7565016330036310
oct72644572134056
915272555781086
104042200234030
11131931871a042
125534a481a666
1323424096200a
14dd901c097b0
1570230c08370
hex3ad25e8b82e

4042200234030 has 128 divisors (see below), whose sum is σ = 11230928916480. Its totient is φ = 911959326720.

The previous prime is 4042200234029. The next prime is 4042200234071. The reversal of 4042200234030 is 304320022404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57316390 + ... + 57386870.

It is an arithmetic number, because the mean of its divisors is an integer number (87741632160).

Almost surely, 24042200234030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042200234030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615464458240).

4042200234030 is an abundant number, since it is smaller than the sum of its proper divisors (7188728682450).

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

4042200234030 is a wasteful number, since it uses less digits than its factorization.

4042200234030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74034.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4042200234030 its reverse (304320022404), we get a palindrome (4346520256434).

The spelling of 4042200234030 in words is "four trillion, forty-two billion, two hundred million, two hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 395 474 553 790 1106 1185 1659 2370 2765 3318 3457 5530 6914 8295 10371 16590 17285 20742 24199 34570 48398 51855 70481 72597 103710 120995 140962 145194 211443 241990 273103 352405 362985 422886 493367 546206 704810 725970 819309 986734 1057215 1365515 1480101 1638618 1911721 2114430 2466835 2731030 2960202 3823442 4096545 4933670 5567999 5735163 7400505 8193090 9558605 11135998 11470326 14801010 16703997 19117210 27839995 28675815 33407994 38975993 55679990 57351630 77951986 83519985 116927979 167039970 194879965 233855958 243652817 389759930 487305634 584639895 730958451 1169279790 1218264085 1461916902 1705569719 2436528170 3411139438 3654792255 5116709157 7309584510 8527848595 10233418314 17055697190 19248572543 25583545785 38497145086 51167091570 57745717629 96242862715 115491435258 134740007801 192485725430 269480015602 288728588145 404220023403 577457176290 673700039005 808440046806 1347400078010 2021100117015 4042200234030