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10020441144 = 2337347171889
BaseRepresentation
bin10010101010100001…
…11100110000111000
3221212100020011002210
421111100330300320
5131010213104034
64334152455120
7503213226060
oct112520746070
927770204083
1010020441144
11428230681a
121b379aa4a0
13c38cc661c
146b0b643a0
153d9a998e9
hex25543cc38

10020441144 has 64 divisors (see below), whose sum is σ = 28712505600. Its totient is φ = 2854715904.

The previous prime is 10020441143. The next prime is 10020441161. The reversal of 10020441144 is 44114402001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10020441144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020441143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27649 + ... + 144240.

It is an arithmetic number, because the mean of its divisors is an integer number (448632900).

Almost surely, 210020441144 is an apocalyptic number.

10020441144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10020441144 is an abundant number, since it is smaller than the sum of its proper divisors (18692064456).

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

10020441144 is a wasteful number, since it uses less digits than its factorization.

10020441144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172252 (or 172248 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10020441144 its reverse (44114402001), we get a palindrome (54134843145).

The spelling of 10020441144 in words is "ten billion, twenty million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 347 694 1041 1388 2082 2429 2776 4164 4858 7287 8328 9716 14574 19432 29148 58296 171889 343778 515667 687556 1031334 1203223 1375112 2062668 2406446 3609669 4125336 4812892 7219338 9625784 14438676 28877352 59645483 119290966 178936449 238581932 357872898 417518381 477163864 715745796 835036762 1252555143 1431491592 1670073524 2505110286 3340147048 5010220572 10020441144