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1141030333144 = 231327578531307
BaseRepresentation
bin10000100110101010101…
…101010010101011011000
311001002012100212122121001
4100212222231102223120
5122143312231130034
62232103155554344
7145302536543032
oct20465255225330
94032170778531
101141030333144
113aa9a9970629
121651808bb9b4
13837a2458500
143d32483ac52
151ea32b5ba14
hex109aab52ad8

1141030333144 has 96 divisors (see below), whose sum is σ = 2324219652720. Its totient is φ = 524915209728.

The previous prime is 1141030333141. The next prime is 1141030333169. The reversal of 1141030333144 is 4413330301411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141030333141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 873014139 + ... + 873015445.

Almost surely, 21141030333144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141030333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162109826360).

1141030333144 is an abundant number, since it is smaller than the sum of its proper divisors (1183189319576).

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

1141030333144 is a wasteful number, since it uses less digits than its factorization.

1141030333144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1141030333144 its reverse (4413330301411), we get a palindrome (5554360634555).

The spelling of 1141030333144 in words is "one trillion, one hundred forty-one billion, thirty million, three hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 757 853 1307 1352 1514 1706 2614 3028 3412 5228 6056 6824 9841 10456 11089 16991 19682 22178 33982 39364 44356 67964 78728 88712 127933 135928 144157 220883 255866 288314 441766 511732 576628 645721 883532 989399 1023464 1114871 1153256 1291442 1767064 1978798 2229742 2582884 3957596 4459484 5165768 7915192 8394373 8918968 12862187 14493323 16788746 25724374 28986646 33577492 51448748 57973292 67154984 102897496 109126849 115946584 167208431 188413199 218253698 334416862 376826398 436507396 668833724 753652796 843957347 873014792 1337667448 1507305592 1687914694 3375829388 6751658776 10971445511 21942891022 43885782044 87771564088 142628791643 285257583286 570515166572 1141030333144