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3440969350225 = 5211229211632
BaseRepresentation
bin110010000100101001110…
…000010111110001010001
3110011221202001220021110121
4302010221300113301101
5422334101123201400
611152432015030241
7503413266613621
oct62045160276121
913157661807417
103440969350225
111107341546300
12476a7180b381
131bc635cb8cc4
14bc7882b6881
155e792c9e21a
hex32129c17c51

3440969350225 has 81 divisors (see below), whose sum is σ = 4861435249489. Its totient is φ = 2414151678400.

The previous prime is 3440969350177. The next prime is 3440969350253. The reversal of 3440969350225 is 5220539690443.

The square root of 3440969350225 is 1854985.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 47297985361 + 3393671364864 = 217481^2 + 1842192^2 .

It is not a de Polignac number, because 3440969350225 - 217 = 3440969219153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2958700494 + ... + 2958701656.

Almost surely, 23440969350225 is an apocalyptic number.

3440969350225 is the 1854985-th square number.

3440969350225 is the 927493-rd centered octagonal number.

It is an amenable number.

3440969350225 is a deficient number, since it is larger than the sum of its proper divisors (1420465899264).

3440969350225 is an equidigital number, since it uses as much as digits as its factorization.

3440969350225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 3440969350225 in words is "three trillion, four hundred forty billion, nine hundred sixty-nine million, three hundred fifty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 29 55 121 145 275 319 605 725 841 1163 1595 3025 3509 4205 5815 7975 9251 12793 17545 21025 29075 33727 46255 63965 87725 101761 140723 168635 231275 319825 370997 508805 703615 843175 978083 1352569 1854985 2544025 3518075 4080967 4890415 6762845 9274925 10758913 14878259 20404835 24452075 33814225 39224501 53794565 74391295 102024175 118348043 163660849 196122505 268972825 371956475 431469511 591740215 818304245 980612525 1137510529 2157347555 2958701075 4091521225 4746164621 5687552645 10786737775 12512615819 23730823105 28437763225 62563079095 118654115525 137638774009 312815395475 688193870045 3440969350225