Search a number
-
+
220114143441 = 3461675631181
BaseRepresentation
bin1100110011111111010…
…0110100100011010001
3210001011010121001010000
43030333310310203101
512101243210042231
6245041414000213
721621430230423
oct3147764644321
9701133531100
10220114143441
1185393771945
12367ab946069
13179ab5500ba
14a9215da813
155ad423a6e6
hex333fd348d1

220114143441 has 80 divisors (see below), whose sum is σ = 340081144128. Its totient is φ = 141810134400.

The previous prime is 220114143437. The next prime is 220114143547. The reversal of 220114143441 is 144341411022.

220114143441 is a `hidden beast` number, since 2 + 201 + 1 + 4 + 14 + 3 + 441 = 666.

It is not a de Polignac number, because 220114143441 - 22 = 220114143437 is a prime.

It is a super-2 number, since 2×2201141434412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220114143241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 186378871 + ... + 186380051.

Almost surely, 2220114143441 is an apocalyptic number.

It is an amenable number.

220114143441 is a deficient number, since it is larger than the sum of its proper divisors (119967000687).

220114143441 is a wasteful number, since it uses less digits than its factorization.

220114143441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 220114143441 its reverse (144341411022), we get a palindrome (364455554463).

The spelling of 220114143441 in words is "two hundred twenty billion, one hundred fourteen million, one hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 61 67 81 183 201 549 563 603 1181 1647 1689 1809 3543 4087 4941 5067 5427 10629 12261 15201 31887 34343 36783 37721 45603 72041 79127 95661 103029 110349 113163 216123 237381 309087 331047 339489 648369 664903 712143 927261 1018467 1945107 1994709 2136429 2300981 2781783 3055401 4826747 5835321 5984127 6409287 6902943 14480241 17952381 20708829 40559083 43440723 44548501 53857143 62126487 121677249 130322169 133645503 186379461 365031747 390966507 400936509 1095095241 1202809527 2717458561 3285285723 3608428581 8152375683 24457127049 73371381147 220114143441