Search a number
-
+
3405142521200 = 245271216122329
BaseRepresentation
bin110001100011010010010…
…011110111010101110000
3110001112021020101210100002
4301203102103313111300
5421242212441134300
611124144553445132
7501004414603220
oct61432223672560
913045236353302
103405142521200
1110a31271aa3a2
1246bb334107a8
131b91466aa8a4
14bab4a05a080
155d8978475d5
hex318d24f7570

3405142521200 has 60 divisors (see below), whose sum is σ = 9349548473040. Its totient is φ = 1167477434880.

The previous prime is 3405142521191. The next prime is 3405142521257. The reversal of 3405142521200 is 21252415043.

3405142521200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 608058365 + ... + 608063964.

It is an arithmetic number, because the mean of its divisors is an integer number (155825807884).

Almost surely, 23405142521200 is an apocalyptic number.

It is an amenable number.

3405142521200 is an abundant number, since it is smaller than the sum of its proper divisors (5944405951840).

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

3405142521200 is a wasteful number, since it uses less digits than its factorization.

3405142521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216122354 (or 1216122343 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 3405142521200 its reverse (21252415043), we get a palindrome (3426394936243).

The spelling of 3405142521200 in words is "three trillion, four hundred five billion, one hundred forty-two million, five hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 1216122329 2432244658 4864489316 6080611645 8512856303 9728978632 12161223290 17025712606 19457957264 24322446580 30403058225 34051425212 42564281515 48644893160 60806116450 68102850424 85128563030 97289786320 121612232900 136205700848 170257126060 212821407575 243224465800 340514252120 425642815150 486448931600 681028504240 851285630300 1702571260600 3405142521200