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1030411014444 = 22327317103112511
BaseRepresentation
bin11101111111010010100…
…10000101000100101100
310122111200010010000200100
432333221102011010230
5113340240204430234
62105210404031100
7134305355052510
oct16775122050454
93574603100610
101030411014444
11367aa4178189
1214784a692490
137622385a746
1437c2d2c2140
151bc0b4cc399
hexefe948512c

1030411014444 has 144 divisors (see below), whose sum is σ = 2989268545536. Its totient is φ = 293166345600.

The previous prime is 1030411014433. The next prime is 1030411014449. The reversal of 1030411014444 is 4444101140301.

1030411014444 is a `hidden beast` number, since 103 + 0 + 4 + 110 + 1 + 4 + 444 = 666.

1030411014444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1030411014449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82354149 + ... + 82366659.

It is an arithmetic number, because the mean of its divisors is an integer number (20758809344).

Almost surely, 21030411014444 is an apocalyptic number.

1030411014444 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 1030411014444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494634272768).

1030411014444 is an abundant number, since it is smaller than the sum of its proper divisors (1958857531092).

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

1030411014444 is a wasteful number, since it uses less digits than its factorization.

1030411014444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13876 (or 13871 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1030411014444 its reverse (4444101140301), we get a palindrome (5474512154745).

The spelling of 1030411014444 in words is "one trillion, thirty billion, four hundred eleven million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 317 634 951 1031 1268 1902 2062 2219 2853 3093 3804 4124 4438 5706 6186 6657 7217 8876 9279 11412 12372 12511 13314 14434 18558 19971 21651 25022 26628 28868 37116 37533 39942 43302 50044 64953 75066 79884 86604 87577 112599 129906 150132 175154 225198 259812 262731 326827 350308 450396 525462 653654 788193 980481 1050924 1307308 1576386 1960962 2287789 2941443 3152772 3921924 3965987 4575578 5882886 6863367 7931974 9151156 11765772 11897961 12898841 13726734 15863948 20590101 23795922 25797682 27453468 27761909 35693883 38696523 41180202 47591844 51595364 55523818 71387766 77393046 82360404 83285727 90291887 111047636 116089569 142775532 154786092 166571454 180583774 232179138 249857181 270875661 333142908 361167548 464358276 499714362 541751322 812626983 999428724 1083502644 1625253966 3250507932 4088932597 8177865194 12266797791 16355730388 24533595582 28622528179 36800393373 49067191164 57245056358 73600786746 85867584537 114490112716 147201573492 171735169074 257602753611 343470338148 515205507222 1030411014444