Search a number
-
+
146413222466335 = 51123532321743693
BaseRepresentation
bin100001010010100101111100…
…000111011001001100011111
3201012101222010012202100101121
4201102211330013121030133
5123142313234422410320
61235221150021351411
742561002066563636
oct4122457407311437
9635358105670347
10146413222466335
1142719554108720
1214507a43b68567
1363909278a26b6
14282261b39851d
1511dd825ab58aa
hex85297c1d931f

146413222466335 has 32 divisors (see below), whose sum is σ = 200039201607168. Its totient is φ = 101833537365120.

The previous prime is 146413222466333. The next prime is 146413222466339. The reversal of 146413222466335 is 533664222314641.

146413222466335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146413222466335 - 21 = 146413222466333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146413222466333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4138252 + ... + 17605441.

It is an arithmetic number, because the mean of its divisors is an integer number (6251225050224).

Almost surely, 2146413222466335 is an apocalyptic number.

146413222466335 is a deficient number, since it is larger than the sum of its proper divisors (53625979140833).

146413222466335 is a wasteful number, since it uses less digits than its factorization.

146413222466335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21749055.

The product of its digits is 14929920, while the sum is 52.

The spelling of 146413222466335 in words is "one hundred forty-six trillion, four hundred thirteen billion, two hundred twenty-two million, four hundred sixty-six thousand, three hundred thirty-five".

Divisors: 1 5 11 23 55 115 253 1265 5323 26615 58553 122429 292765 612145 1346719 6733595 21743693 108718465 239180623 500104939 1195903115 2500524695 5501154329 27505771645 115741677839 578708389195 1273158456229 2662058590297 6365792281145 13310292951485 29282644493267 146413222466335