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1003444431144 = 233100549415819
BaseRepresentation
bin11101001101000011111…
…00101110100100101000
310112221001202201122201220
432212201330232210220
5112420023233244034
62044550452342040
7132332200635231
oct16464174564450
93487052648656
101003444431144
11357616249001
12142583614920
1373816a7a08c
14367d1a9c088
151b17dd48749
hexe9a1f2e928

1003444431144 has 32 divisors (see below), whose sum is σ = 2508642060000. Its totient is φ = 334477346112.

The previous prime is 1003444431139. The next prime is 1003444431149. The reversal of 1003444431144 is 4411344443001.

1003444431144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003444431139) and next prime (1003444431149).

It is not an unprimeable number, because it can be changed into a prime (1003444431149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205267 + ... + 2621085.

It is an arithmetic number, because the mean of its divisors is an integer number (78395064375).

Almost surely, 21003444431144 is an apocalyptic number.

It is an amenable number.

1003444431144 is an abundant number, since it is smaller than the sum of its proper divisors (1505197628856).

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

1003444431144 is a wasteful number, since it uses less digits than its factorization.

1003444431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516377 (or 516373 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1003444431144 its reverse (4411344443001), we get a palindrome (5414788874145).

The spelling of 1003444431144 in words is "one trillion, three billion, four hundred forty-four million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 100549 201098 301647 402196 415819 603294 804392 831638 1206588 1247457 1663276 2413176 2494914 3326552 4989828 9979656 41810184631 83620369262 125430553893 167240738524 250861107786 334481477048 501722215572 1003444431144