Search a number
-
+
43013341443204 = 223211439279188651
BaseRepresentation
bin10011100011110110100101…
…11011111111010010000100
312122022000221201110211020200
421301323102323333102010
521114212310402140304
6231252020053130500
712026416461513516
oct1161732273772204
9178260851424220
1043013341443204
1112783945986570
1249a8335029a30
131b001aa147852
14a89bdd21bbb6
154e8d2085ae39
hex271ed2eff484

43013341443204 has 144 divisors (see below), whose sum is σ = 118926672184320. Its totient is φ = 12999848760000.

The previous prime is 43013341443181. The next prime is 43013341443227. The reversal of 43013341443204 is 40234414331034.

43013341443204 is a `hidden beast` number, since 4 + 3 + 0 + 1 + 3 + 3 + 4 + 1 + 443 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (43013341443181) and next prime (43013341443227).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485154279 + ... + 485242929.

Almost surely, 243013341443204 is an apocalyptic number.

43013341443204 is a gapful number since it is divisible by the number (44) 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 43013341443204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59463336092160).

43013341443204 is an abundant number, since it is smaller than the sum of its proper divisors (75913330741116).

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

43013341443204 is a wasteful number, since it uses less digits than its factorization.

43013341443204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91902 (or 91897 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 43013341443204 its reverse (40234414331034), we get a palindrome (83247755774238).

The spelling of 43013341443204 in words is "forty-three trillion, thirteen billion, three hundred forty-one million, four hundred forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 439 878 1317 1756 2634 2791 3951 4829 5268 5582 7902 8373 9658 11164 14487 15804 16746 19316 25119 28974 30701 33492 43461 50238 57948 61402 86922 88651 92103 100476 122804 173844 177302 184206 265953 276309 354604 368412 531906 552618 797859 975161 1063812 1105236 1225249 1595718 1950322 2450498 2925483 3191436 3675747 3900644 4900996 5850966 7351494 8776449 11027241 11701932 13477739 14702988 17552898 22054482 26955478 35105796 38917789 40433217 44108964 53910956 77835578 80866434 116753367 121299651 155671156 161732868 233506734 242599302 247424941 350260101 428095679 467013468 485198604 494849882 700520202 742274823 856191358 989699764 1284287037 1401040404 1484549646 1712382716 2226824469 2568574074 2721674351 2969099292 3852861111 4453648938 5137148148 5443348702 7705722222 8165023053 8907297876 10886697404 15411444444 16330046106 24495069159 32660092212 48990138318 97980276636 108619549099 217239098198 325858647297 434478196396 651717294594 977575941891 1194815040089 1303434589188 1955151883782 2389630080178 3584445120267 3910303767564 4779260160356 7168890240534 10753335360801 14337780481068 21506670721602 43013341443204