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10444103340 = 22351117930847
BaseRepresentation
bin10011011101000010…
…00101111010101100
3222221212102102101020
421232201011322230
5132342142301330
64444205214140
7516546261606
oct115641057254
928855372336
1010444103340
11447a473470
122035861350
13ca5a01208
14711128176
15411d84210
hex26e845eac

10444103340 has 96 divisors (see below), whose sum is σ = 33778612224. Its totient is φ = 2382965760.

The previous prime is 10444103333. The next prime is 10444103381. The reversal of 10444103340 is 4330144401.

10444103340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10444103340.

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 31 ways as a sum of consecutive naturals, for example, 454204 + ... + 476643.

It is an arithmetic number, because the mean of its divisors is an integer number (351860544).

Almost surely, 210444103340 is an apocalyptic number.

10444103340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444103340 is an abundant number, since it is smaller than the sum of its proper divisors (23334508884).

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

10444103340 is a wasteful number, since it uses less digits than its factorization.

10444103340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930887 (or 930885 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10444103340 its reverse (4330144401), we get a palindrome (14774247741).

The spelling of 10444103340 in words is "ten billion, four hundred forty-four million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 930847 1861694 2792541 3723388 4654235 5585082 9308470 10239317 11170164 13962705 15824399 18616940 20478634 27925410 30717951 31648798 40957268 47473197 51196585 55850820 61435902 63297596 79121995 94946394 102393170 122871804 153589755 158243990 174068389 189892788 204786340 237365985 307179510 316487980 348136778 474731970 522205167 614359020 696273556 870341945 949463940 1044410334 1740683890 2088820668 2611025835 3481367780 5222051670 10444103340