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442025036644 = 2237113254910369
BaseRepresentation
bin1100110111010101011…
…11101100101101100100
31120020221111002102112111
412123222233230231210
524220231402133034
6535021414330404
743635535550512
oct6335257545544
91506844072474
10442025036644
11160509678444
1271801359a04
13328b50c2a29
14175736a54b2
15b77108b364
hex66eabecb64

442025036644 has 48 divisors (see below), whose sum is σ = 801872694000. Its totient is φ = 213032042496.

The previous prime is 442025036599. The next prime is 442025036671. The reversal of 442025036644 is 446630520244.

It can be written as a sum of positive squares in 8 ways, for example, as 6266622244 + 435758414400 = 79162^2 + 660120^2 .

It is a super-2 number, since 2×4420250366442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442025036597 and 442025036606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42624292 + ... + 42634660.

It is an arithmetic number, because the mean of its divisors is an integer number (16705681125).

Almost surely, 2442025036644 is an apocalyptic number.

It is an amenable number.

442025036644 is a deficient number, since it is larger than the sum of its proper divisors (359847657356).

442025036644 is a wasteful number, since it uses less digits than its factorization.

442025036644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072 (or 13070 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 442025036644 its reverse (446630520244), we get a palindrome (888655556888).

The spelling of 442025036644 in words is "four hundred forty-two billion, twenty-five million, thirty-six thousand, six hundred forty-four".

Divisors: 1 2 4 37 74 113 148 226 452 2549 4181 5098 8362 10196 10369 16724 20738 41476 94313 188626 288037 377252 383653 576074 767306 1152148 1171697 1534612 2343394 4686788 10657369 21314738 26430581 42629476 43352789 52861162 86705578 105722324 173411156 977931497 1955862994 2986655653 3911725988 5973311306 11946622612 110506259161 221012518322 442025036644