Search a number
-
+
4105454355442 = 21117231471324451
BaseRepresentation
bin111011101111100000001…
…001100000001111110010
3112112110220011200000020101
4323233200021200033302
51014230432303333232
612422004130503014
7602415662145406
oct73574011401762
915473804600211
104105454355442
111343127a55740
125637b8434a6a
1323a1b162a01b
141029c2935106
1571bd3e9a1e7
hex3bbe02603f2

4105454355442 has 64 divisors (see below), whose sum is σ = 7427531685888. Its totient is φ = 1678834080000.

The previous prime is 4105454355439. The next prime is 4105454355467. The reversal of 4105454355442 is 2445534545014.

4105454355442 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 (46).

It is a junction number, because it is equal to n+sod(n) for n = 4105454355392 and 4105454355401.

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, 12491317 + ... + 12815767.

It is an arithmetic number, because the mean of its divisors is an integer number (116055182592).

Almost surely, 24105454355442 is an apocalyptic number.

4105454355442 is a deficient number, since it is larger than the sum of its proper divisors (3322077330446).

4105454355442 is a wasteful number, since it uses less digits than its factorization.

4105454355442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325975.

The product of its (nonzero) digits is 3840000, while the sum is 46.

The spelling of 4105454355442 in words is "four trillion, one hundred five billion, four hundred fifty-four million, three hundred fifty-five thousand, four hundred forty-two".

Divisors: 1 2 11 17 22 23 34 46 187 253 374 391 506 782 1471 2942 4301 8602 16181 25007 32362 33833 50014 67666 275077 324451 372163 550154 575161 648902 744326 1150322 3568961 5515667 6326771 7137922 7462373 11031334 12653542 14924746 60672337 82086103 121344674 126860341 164172206 253720682 477267421 954534842 1395463751 2790927502 5249941631 8113546157 10499883262 10977150683 16227092314 21954301366 89249007727 120748657513 178498015454 186611561611 241497315026 373223123222 2052727177721 4105454355442