Search a number
-
+
141433213220 = 225132370133739
BaseRepresentation
bin1000001110111000010…
…0111001000100100100
3111112001201112122200022
42003232010321010210
54304123400310340
6144550140334312
713134563322335
oct2035604710444
9445051478608
10141433213220
1154a883a8482
12234b1844398
131044c79c160
146bb9b0828c
153a2b9773b5
hex20ee139124

141433213220 has 96 divisors (see below), whose sum is σ = 334249493760. Its totient is φ = 49878259200.

The previous prime is 141433213183. The next prime is 141433213223. The reversal of 141433213220 is 22312334141.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 141433213220.

It is not an unprimeable number, because it can be changed into a prime (141433213223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4175111 + ... + 4208849.

It is an arithmetic number, because the mean of its divisors is an integer number (3481765560).

Almost surely, 2141433213220 is an apocalyptic number.

141433213220 is a gapful number since it is divisible by the number (10) 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 141433213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167124746880).

141433213220 is an abundant number, since it is smaller than the sum of its proper divisors (192816280540).

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

141433213220 is a wasteful number, since it uses less digits than its factorization.

141433213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34485 (or 34483 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 141433213220 its reverse (22312334141), we get a palindrome (163745547361).

The spelling of 141433213220 in words is "one hundred forty-one billion, four hundred thirty-three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 701 1196 1402 1495 2804 2990 3505 5980 7010 9113 14020 16123 18226 32246 33739 36452 45565 64492 67478 80615 91130 134956 161230 168695 182260 209599 322460 337390 419198 438607 674780 775997 838396 877214 1047995 1551994 1754428 2095990 2193035 3103988 3879985 4191980 4386070 7759970 8772140 10087961 15519940 20175922 23651039 40351844 47302078 50439805 94604156 100879610 118255195 201759220 236510390 307463507 473020780 543973897 614927014 1087947794 1229854028 1537317535 2175895588 2719869485 3074635070 5439738970 6149270140 7071660661 10879477940 14143321322 28286642644 35358303305 70716606610 141433213220