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10445011440 = 243543520881
BaseRepresentation
bin10011011101001001…
…00011100111110000
3222221221010120001120
421232210203213300
5132342410331230
64444240502240
7516560063253
oct115644434760
928857116046
1010445011440
11447aa33766
12203601a980
13ca5c5b656
147112c309a
15411eb3310
hex26e9239f0

10445011440 has 40 divisors (see below), whose sum is σ = 32379536208. Its totient is φ = 2785336320.

The previous prime is 10445011439. The next prime is 10445011453. The reversal of 10445011440 is 4411054401.

10445011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10445011440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21760201 + ... + 21760680.

Almost surely, 210445011440 is an apocalyptic number.

10445011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10445011440 is an abundant number, since it is smaller than the sum of its proper divisors (21934524768).

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

10445011440 is a wasteful number, since it uses less digits than its factorization.

10445011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43520897 (or 43520891 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 10445011440 its reverse (4411054401), we get a palindrome (14856065841).

The spelling of 10445011440 in words is "ten billion, four hundred forty-five million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 43520881 87041762 130562643 174083524 217604405 261125286 348167048 435208810 522250572 652813215 696334096 870417620 1044501144 1305626430 1740835240 2089002288 2611252860 3481670480 5222505720 10445011440