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10044322344 = 23327138114431
BaseRepresentation
bin10010101101011000…
…00011001000101000
3221221000011102221200
421112230003020220
5131032321303334
64340404404200
7503623221420
oct112654031050
927830142850
1010044322344
114294838051
121b439a6660
13c40c38504
146b3dbd480
153dbc15799
hex256b03228

10044322344 has 96 divisors (see below), whose sum is σ = 31114237440. Its totient is φ = 2867529600.

The previous prime is 10044322331. The next prime is 10044322349. The reversal of 10044322344 is 44322344001.

It is a happy number.

It is a super-2 number, since 2×100443223442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10044322349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 688809 + ... + 703239.

It is an arithmetic number, because the mean of its divisors is an integer number (324106640).

Almost surely, 210044322344 is an apocalyptic number.

10044322344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044322344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557118720).

10044322344 is an abundant number, since it is smaller than the sum of its proper divisors (21069915096).

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

10044322344 is a wasteful number, since it uses less digits than its factorization.

10044322344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15831 (or 15824 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10044322344 its reverse (44322344001), we get a palindrome (54366666345).

The spelling of 10044322344 in words is "ten billion, forty-four million, three hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1381 2762 4143 5524 8286 9667 11048 12429 14431 16572 19334 24858 28862 29001 33144 38668 43293 49716 57724 58002 77336 86586 87003 99432 101017 115448 116004 129879 173172 174006 202034 232008 259758 303051 346344 348012 404068 519516 606102 696024 808136 909153 1039032 1212204 1818306 2424408 3636612 7273224 19929211 39858422 59787633 79716844 119575266 139504477 159433688 179362899 239150532 279008954 358725798 418513431 478301064 558017908 717451596 837026862 1116035816 1255540293 1434903192 1674053724 2511080586 3348107448 5022161172 10044322344