Search a number
-
+
213442400140 = 225611279191499
BaseRepresentation
bin1100011011001000101…
…0001000111110001100
3202101221011112100212021
43012302022020332030
511444112223301030
6242015403215524
721264205315654
oct3066212107614
9671834470767
10213442400140
118257a741402
12354495175a4
13171872595b8
14a48b4cb364
15584366297a
hex31b2288f8c

213442400140 has 96 divisors (see below), whose sum is σ = 459970560000. Its totient is φ = 83169918720.

The previous prime is 213442400063. The next prime is 213442400147. The reversal of 213442400140 is 41004244312.

It is not an unprimeable number, because it can be changed into a prime (213442400147) 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 31 ways as a sum of consecutive naturals, for example, 142389111 + ... + 142390609.

It is an arithmetic number, because the mean of its divisors is an integer number (4791360000).

Almost surely, 2213442400140 is an apocalyptic number.

213442400140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213442400140 is an abundant number, since it is smaller than the sum of its proper divisors (246528159860).

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

213442400140 is a wasteful number, since it uses less digits than its factorization.

213442400140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 213442400140 its reverse (41004244312), we get a palindrome (254446644452).

The spelling of 213442400140 in words is "two hundred thirteen billion, four hundred forty-two million, four hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 127 244 254 305 508 610 635 919 1220 1270 1499 1838 2540 2998 3676 4595 5996 7495 7747 9190 14990 15494 18380 29980 30988 38735 56059 77470 91439 112118 116713 154940 182878 190373 224236 233426 280295 365756 380746 457195 466852 560590 583565 761492 914390 951865 1121180 1167130 1377581 1828780 1903730 2334260 2755162 3807460 5510324 6887905 7119493 11612753 13775810 14238986 23225506 27551620 28477972 35597465 46451012 58063765 71194930 84032441 116127530 142389860 168064882 174952787 232255060 336129764 349905574 420162205 699811148 840324410 874763935 1680648820 1749527870 3499055740 10672120007 21344240014 42688480028 53360600035 106721200070 213442400140