Search a number
-
+
3400140043224 = 2333283311178853
BaseRepresentation
bin110001011110101000001…
…000111011001111011000
3110001001100121100120122000
4301132220020323033120
5421201441322340344
611122000333201000
7500436432335301
oct61365010731730
913031317316560
103400140043224
1110a0a9a45a681
1246ab78030160
131b882a192152
14ba7d39117a8
155d6a35a1a69
hex317a823b3d8

3400140043224 has 128 divisors (see below), whose sum is σ = 9508737139200. Its totient is φ = 1125737412480.

The previous prime is 3400140043219. The next prime is 3400140043231. The reversal of 3400140043224 is 4223400410043.

It is a happy number.

3400140043224 is a `hidden beast` number, since 34 + 0 + 0 + 1 + 400 + 4 + 3 + 224 = 666.

3400140043224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18921382 + ... + 19100234.

It is an arithmetic number, because the mean of its divisors is an integer number (74287008900).

Almost surely, 23400140043224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400140043224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754368569600).

3400140043224 is an abundant number, since it is smaller than the sum of its proper divisors (6108597095976).

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

3400140043224 is a wasteful number, since it uses less digits than its factorization.

3400140043224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179462 (or 179452 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3400140043224 its reverse (4223400410043), we get a palindrome (7623540453267).

The spelling of 3400140043224 in words is "three trillion, four hundred billion, one hundred forty million, forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 283 311 566 622 849 933 1132 1244 1698 1866 2264 2488 2547 2799 3396 3732 5094 5598 6792 7464 7641 8397 10188 11196 15282 16794 20376 22392 30564 33588 61128 67176 88013 176026 178853 264039 352052 357706 528078 536559 704104 715412 792117 1056156 1073118 1430824 1584234 1609677 2112312 2146236 2376351 3168468 3219354 4292472 4752702 4829031 6336936 6438708 9505404 9658062 12877416 19010808 19316124 38632248 50615399 55623283 101230798 111246566 151846197 166869849 202461596 222493132 303692394 333739698 404923192 444986264 455538591 500609547 607384788 667479396 911077182 1001219094 1214769576 1334958792 1366615773 1501828641 1822154364 2002438188 2733231546 3003657282 3644308728 4004876376 5466463092 6007314564 10932926184 12014629128 15741389089 31482778178 47224167267 62965556356 94448334534 125931112712 141672501801 188896669068 283345003602 377793338136 425017505403 566690007204 850035010806 1133380014408 1700070021612 3400140043224