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4441545014440 = 235569195146969
BaseRepresentation
bin100000010100010000010…
…1101100111110010101000
3120201121101220112110210111
41000220200231213302220
51040232241010430230
613240230112024104
7635614424464162
oct100504055476250
916647356473714
104441545014440
111462715408246
125b8974532034
13262ab360c651
14114d86d6d932
157a804d2792a
hex40a20b67ca8

4441545014440 has 32 divisors (see below), whose sum is σ = 10011039561000. Its totient is φ = 1773495645184.

The previous prime is 4441545014429. The next prime is 4441545014453. The reversal of 4441545014440 is 444105451444.

It can be written as a sum of positive squares in 4 ways, for example, as 1311469297636 + 3130075716804 = 1145194^2 + 1769202^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4441545014393 and 4441545014402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97550725 + ... + 97596244.

Almost surely, 24441545014440 is an apocalyptic number.

4441545014440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441545014440 is an abundant number, since it is smaller than the sum of its proper divisors (5569494546560).

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

4441545014440 is a wasteful number, since it uses less digits than its factorization.

4441545014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195147549 (or 195147545 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

The spelling of 4441545014440 in words is "four trillion, four hundred forty-one billion, five hundred forty-five million, fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 569 1138 2276 2845 4552 5690 11380 22760 195146969 390293938 780587876 975734845 1561175752 1951469690 3902939380 7805878760 111038625361 222077250722 444154501444 555193126805 888309002888 1110386253610 2220772507220 4441545014440