Search a number
-
+
142244234200112 = 24112233203997343
BaseRepresentation
bin100000010101111011010001…
…000011010000010000110000
3200122122102020020211021011112
4200111323101003100100300
5122121012142423400422
61222310033222332452
741650543504163522
oct4025732103202060
9618572206737145
10142244234200112
11413614939a7500
1213b53a7628a128
13614a75c637b35
14271a92c905a12
15116a17400cee2
hex815ed10d0430

142244234200112 has 120 divisors (see below), whose sum is σ = 316200143895552. Its totient is φ = 61825948666240.

The previous prime is 142244234200111. The next prime is 142244234200207. The reversal of 142244234200112 is 211002432442241.

It is not an unprimeable number, because it can be changed into a prime (142244234200111) 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 23 ways as a sum of consecutive naturals, for example, 142124513 + ... + 143121855.

Almost surely, 2142244234200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142244234200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158100071947776).

142244234200112 is an abundant number, since it is smaller than the sum of its proper divisors (173955909695440).

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

142244234200112 is a wasteful number, since it uses less digits than its factorization.

142244234200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000599 (or 1000582 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 142244234200112 its reverse (211002432442241), we get a palindrome (353246666642353).

The spelling of 142244234200112 in words is "one hundred forty-two trillion, two hundred forty-four billion, two hundred thirty-four million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 968 1012 1936 2024 2783 3203 4048 5566 6406 11132 12812 22264 25624 35233 44528 51248 70466 73669 140932 147338 281864 294676 387563 563728 589352 775126 810359 997343 1178704 1550252 1620718 1994686 3100504 3241436 3989372 6201008 6482872 7978744 8913949 10970773 12965744 15957488 17827898 21941546 22938889 35655796 43883092 45877778 71311592 87766184 91755556 120678503 142623184 175532368 183511112 241357006 252327779 367022224 482714012 504655558 965428024 1009311116 1930856048 2018622232 2775605569 3194489629 4037244464 5551211138 6388979258 11102422276 12777958516 22204844552 25555917032 35139385919 44409689104 51111834064 70278771838 73473261467 140557543676 146946522934 281115087352 293893045868 386533245109 562230174704 587786091736 773066490218 808205876137 1175572183472 1546132980436 1616411752274 3092265960872 3232823504548 6184531921744 6465647009096 8890264637507 12931294018192 17780529275014 35561058550028 71122117100056 142244234200112