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44268434769 = 3132436730307
BaseRepresentation
bin101001001110100110…
…101011010101010001
311020021010212111020010
4221032212223111101
51211130204403034
632200414105133
73125004326016
oct511646532521
9136233774203
1044268434769
1117857417289
1286b54ab1a9
13423649c500
1421dd43970d
1512415d33e9
hexa4e9ab551

44268434769 has 48 divisors (see below), whose sum is σ = 66378884352. Its totient is φ = 26210568384.

The previous prime is 44268434759. The next prime is 44268434801. The reversal of 44268434769 is 96743486244.

44268434769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44268434769 - 24 = 44268434753 is a prime.

It is a super-2 number, since 2×442684347692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (44268434729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1445514 + ... + 1475820.

It is an arithmetic number, because the mean of its divisors is an integer number (1382893424).

Almost surely, 244268434769 is an apocalyptic number.

It is an amenable number.

44268434769 is a deficient number, since it is larger than the sum of its proper divisors (22110449583).

44268434769 is a wasteful number, since it uses less digits than its factorization.

44268434769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30446 (or 30433 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 57.

The spelling of 44268434769 in words is "forty-four billion, two hundred sixty-eight million, four hundred thirty-four thousand, seven hundred sixty-nine".

Divisors: 1 3 13 39 43 67 129 169 201 507 559 871 1677 2613 2881 7267 8643 11323 21801 30307 33969 37453 90921 112359 393991 486889 1181973 1303201 1460667 2030569 3909603 5121883 6091707 15365649 16941613 26397397 50824839 79192191 87314467 220240969 261943401 343166161 660722907 1029498483 1135088071 3405264213 14756144923 44268434769