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10444343744 = 2610110911481
BaseRepresentation
bin10011011101000100…
…00000100111000000
3222221212212122011002
421232202000213000
5132342222444434
64444214311132
7516551312522
oct115642004700
928855778132
1010444343744
11447a61804a
1220359584a8
13ca5a86773
1471118ba12
15411dd057e
hex26e8809c0

10444343744 has 56 divisors (see below), whose sum is σ = 20964028176. Its totient is φ = 5162240000.

The previous prime is 10444343621. The next prime is 10444343747. The reversal of 10444343744 is 44734344401.

It is a junction number, because it is equal to n+sod(n) for n = 10444343698 and 10444343707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444343747) 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, 7051484 + ... + 7052964.

It is an arithmetic number, because the mean of its divisors is an integer number (374357646).

Almost surely, 210444343744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10444343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10482014088).

10444343744 is an abundant number, since it is smaller than the sum of its proper divisors (10519684432).

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

10444343744 is a wasteful number, since it uses less digits than its factorization.

10444343744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 38.

The spelling of 10444343744 in words is "ten billion, four hundred forty-four million, three hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1091 1481 1616 2182 2962 3232 4364 5924 6464 8728 11848 17456 23696 34912 47392 69824 94784 110191 149581 220382 299162 440764 598324 881528 1196648 1615771 1763056 2393296 3231542 3526112 4786592 6463084 7052224 9573184 12926168 25852336 51704672 103409344 163192871 326385742 652771484 1305542968 2611085936 5222171872 10444343744