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10444144002 = 2341914392887
BaseRepresentation
bin10011011101000010…
…01111110110000010
3222221212111111011020
421232201033312002
5132342200102002
64444210130310
7516546521265
oct115641176602
928855444136
1010444144002
11447a4a0a76
122035880996
13ca5a16886
14711138cdc
15411d912bc
hex26e84fd82

10444144002 has 32 divisors (see below), whose sum is σ = 20959948800. Its totient is φ = 3469456848.

The previous prime is 10444143937. The next prime is 10444144093. The reversal of 10444144002 is 20044144401.

It is a happy number.

10444144002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3616203 + ... + 3619089.

It is an arithmetic number, because the mean of its divisors is an integer number (654998400).

Almost surely, 210444144002 is an apocalyptic number.

10444144002 is an abundant number, since it is smaller than the sum of its proper divisors (10515804798).

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

10444144002 is a wasteful number, since it uses less digits than its factorization.

10444144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10444144002 its reverse (20044144401), we get a palindrome (30488288403).

The spelling of 10444144002 in words is "ten billion, four hundred forty-four million, one hundred forty-four thousand, two".

Divisors: 1 2 3 6 419 838 1257 1439 2514 2878 2887 4317 5774 8634 8661 17322 602941 1205882 1209653 1808823 2419306 3617646 3628959 4154393 7257918 8308786 12463179 24926358 1740690667 3481381334 5222072001 10444144002