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3410984203225 = 52229216132
BaseRepresentation
bin110001101000101110100…
…000000111001111011001
3110002002100100112222120121
4301220232200013033121
5421341143424000400
611130552353153241
7501302240226154
oct61505640071731
913062310488517
103410984203225
1110a5654727585
124710a385b821
131b9867a24681
14bb141c16c9b
155dada60b21a
hex31a2e8073d9

3410984203225 has 27 divisors (see below), whose sum is σ = 4250806365783. Its totient is φ = 2715186901440.

The previous prime is 3410984203223. The next prime is 3410984203229. The reversal of 3410984203225 is 5223024890143.

The square root of 3410984203225 is 1846885.

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

It can be written as a sum of positive squares in 13 ways, for example, as 262048776649 + 3148935426576 = 511907^2 + 1774524^2 .

It is not a de Polignac number, because 3410984203225 - 21 = 3410984203223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3410984203223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2114682519 + ... + 2114684131.

Almost surely, 23410984203225 is an apocalyptic number.

3410984203225 is the 1846885-th square number.

3410984203225 is the 923443-rd centered octagonal number.

It is an amenable number.

3410984203225 is a deficient number, since it is larger than the sum of its proper divisors (839822162558).

3410984203225 is an frugal number, since it uses more digits than its factorization.

3410984203225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 3410984203225 in words is "three trillion, four hundred ten billion, nine hundred eighty-four million, two hundred three thousand, two hundred twenty-five".

Divisors: 1 5 25 229 1145 1613 5725 8065 40325 52441 262205 369377 1311025 1846885 2601769 9234425 13008845 65044225 84587333 422936665 595805101 2114683325 2979025505 14895127525 136439368129 682196840645 3410984203225