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4446132316444 = 22713101120937121
BaseRepresentation
bin100000010110011001000…
…1000110010100100011100
3120202001020121100120010201
41000230302020302210130
51040321134333111234
613242305221513244
7636136206062410
oct100546210624434
916661217316121
104446132316444
111464659867125
125b9834872824
13263364b02030
141152a02c2d40
157a9c290d314
hex40b3223291c

4446132316444 has 48 divisors (see below), whose sum is σ = 9671099772096. Its totient is φ = 1741494528000.

The previous prime is 4446132316433. The next prime is 4446132316447.

It is a happy number.

4446132316444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4446132316394 and 4446132316403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4446132316447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60431797 + ... + 60505324.

It is an arithmetic number, because the mean of its divisors is an integer number (201481245252).

Almost surely, 24446132316444 is an apocalyptic number.

It is an amenable number.

4446132316444 is an abundant number, since it is smaller than the sum of its proper divisors (5224967455652).

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

4446132316444 is a wasteful number, since it uses less digits than its factorization.

4446132316444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120937246 (or 120937244 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 46.

The spelling of 4446132316444 in words is "four trillion, four hundred forty-six billion, one hundred thirty-two million, three hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 182 202 364 404 707 1313 1414 2626 2828 5252 9191 18382 36764 120937121 241874242 483748484 846559847 1572182573 1693119694 3144365146 3386239388 6288730292 11005278011 12214649221 22010556022 24429298442 44021112044 48858596884 85502544547 158790439873 171005089094 317580879746 342010178188 635161759492 1111533079111 2223066158222 4446132316444