Search a number
-
+
43340330400224 = 2511139471226049
BaseRepresentation
bin10011101101010111101001…
…11111110111100111100000
312200110021222010212220220112
421312223310333313213200
521140041444040301344
6232102134541230452
712062143535010104
oct1166536477674740
9180407863786815
1043340330400224
111289a5926a3720
124a3b790b62428
131b24c8b58b7c0
14a9b97c929904
155025ac61cc9e
hex276af4ff79e0

43340330400224 has 48 divisors (see below), whose sum is σ = 100243456513200. Its totient is φ = 18184754012160.

The previous prime is 43340330400179. The next prime is 43340330400239. The reversal of 43340330400224 is 42200403304334.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4735608449 + ... + 4735617600.

It is an arithmetic number, because the mean of its divisors is an integer number (2088405344025).

Almost surely, 243340330400224 is an apocalyptic number.

43340330400224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

43340330400224 is an abundant number, since it is smaller than the sum of its proper divisors (56903126112976).

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

43340330400224 is a wasteful number, since it uses less digits than its factorization.

43340330400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9471226083 (or 9471226075 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 43340330400224 its reverse (42200403304334), we get a palindrome (85540733704558).

The spelling of 43340330400224 in words is "forty-three trillion, three hundred forty billion, three hundred thirty million, four hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 9471226049 18942452098 37884904196 75769808392 104183486539 123125938637 151539616784 208366973078 246251877274 303079233568 416733946156 492503754548 833467892312 985007509096 1354385325007 1666935784624 1970015018192 2708770650014 3333871569248 3940030036384 5417541300028 10835082600056 21670165200112 43340330400224