Search a number
-
+
144311230401144 = 23343214729651223
BaseRepresentation
bin100000110100000000010011…
…101000000000101001111000
3200220222000111202211202110120
4200310000103220000221320
5122403343344440314034
61230531355232413240
742253066551044052
oct4064002350005170
9626860452752416
10144311230401144
1141a8905a414774
12142285970a7220
13626a64bc020c1
14278c9b50968d2
1511a3ceda56c49
hex834013a00a78

144311230401144 has 64 divisors (see below), whose sum is σ = 369170549932800. Its totient is φ = 46984760798976.

The previous prime is 144311230401139. The next prime is 144311230401181. The reversal of 144311230401144 is 441104032113441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221274717 + ... + 221925939.

It is an arithmetic number, because the mean of its divisors is an integer number (5768289842700).

Almost surely, 2144311230401144 is an apocalyptic number.

It is an amenable number.

144311230401144 is an abundant number, since it is smaller than the sum of its proper divisors (224859319531656).

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

144311230401144 is a wasteful number, since it uses less digits than its factorization.

144311230401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866004 (or 866000 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 144311230401144 its reverse (441104032113441), we get a palindrome (585415262514585).

The spelling of 144311230401144 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred thirty million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 214729 429458 644187 651223 858916 1288374 1302446 1717832 1953669 2576748 2604892 3907338 5153496 5209784 7814676 9233347 15629352 18466694 27700041 28002589 36933388 55400082 56005178 73866776 84007767 110800164 112010356 168015534 221600328 224020712 336031068 672062136 139836463567 279672927134 419509390701 559345854268 839018781402 1118691708536 1678037562804 3356075125608 6012967933381 12025935866762 18038903800143 24051871733524 36077807600286 48103743467048 72155615200572 144311230401144