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3230414442144 = 253211216716813
BaseRepresentation
bin101111000000100011101…
…101001000111010100000
3102102211021010200201001200
4233000203231020322200
5410411342044122034
610512010520401200
7452250452462061
oct57004355107240
912384233621050
103230414442144
11103601381047a
124420ab316200
131a581c0411b6
14b24d24a6568
155906cda9a99
hex2f023b48ea0

3230414442144 has 36 divisors (see below), whose sum is σ = 9186491070666. Its totient is φ = 1076804813952.

The previous prime is 3230414442119. The next prime is 3230414442173. The reversal of 3230414442144 is 4412444140323.

3230414442144 is a `hidden beast` number, since 3 + 2 + 30 + 41 + 4 + 442 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2353217360400 + 877197081744 = 1534020^2 + 936588^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3230414442099 and 3230414442108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5608358119 + ... + 5608358694.

Almost surely, 23230414442144 is an apocalyptic number.

It is an amenable number.

3230414442144 is an abundant number, since it is smaller than the sum of its proper divisors (5956076628522).

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

3230414442144 is a wasteful number, since it uses less digits than its factorization.

3230414442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11216716829 (or 11216716818 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3230414442144 its reverse (4412444140323), we get a palindrome (7642858582467).

The spelling of 3230414442144 in words is "three trillion, two hundred thirty billion, four hundred fourteen million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11216716813 22433433626 33650150439 44866867252 67300300878 89733734504 100950451317 134600601756 179467469008 201900902634 269201203512 358934938016 403801805268 538402407024 807603610536 1076804814048 1615207221072 3230414442144