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1141242614424 = 2332112193678739
BaseRepresentation
bin10000100110110111010…
…111000101001010011000
311001002202011022122202200
4100212313113011022120
5122144231102130144
62232140221530200
7145311025110633
oct20466727051230
94032664278680
101141242614424
113aaaa8781700
1216521ba13960
1383807422833
143d344ad8c1a
151ea465dec69
hex109b75c5298

1141242614424 has 144 divisors (see below), whose sum is σ = 3415005648600. Its totient is φ = 344038717440.

The previous prime is 1141242614417. The next prime is 1141242614441. The reversal of 1141242614424 is 4244162421411.

1141242614424 is a `hidden beast` number, since 1 + 1 + 4 + 12 + 4 + 2 + 614 + 4 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1342047 + ... + 2020785.

Almost surely, 21141242614424 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 1141242614424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707502824300).

1141242614424 is an abundant number, since it is smaller than the sum of its proper divisors (2273763034176).

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

1141242614424 is a wasteful number, since it uses less digits than its factorization.

1141242614424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678966 (or 678948 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 1141242614424 in words is "one trillion, one hundred forty-one billion, two hundred forty-two million, six hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 193 198 242 264 363 386 396 484 579 726 772 792 968 1089 1158 1452 1544 1737 2123 2178 2316 2904 3474 4246 4356 4632 6369 6948 8492 8712 12738 13896 16984 19107 23353 25476 38214 46706 50952 70059 76428 93412 140118 152856 186824 210177 280236 420354 560472 678739 840708 1357478 1681416 2036217 2714956 4072434 5429912 6108651 7466129 8144868 12217302 14932258 16289736 22398387 24434604 29864516 44796774 48869208 59729032 67195161 82127419 89593548 130996627 134390322 164254838 179187096 246382257 261993254 268780644 328509676 392989881 492764514 523986508 537561288 657019352 739146771 785979762 985529028 1047973016 1178969643 1440962897 1478293542 1571959524 1971058056 2357939286 2881925794 2956587084 3143919048 4322888691 4715878572 5763851588 5913174168 8645777382 9431757144 11527703176 12968666073 15850591867 17291554764 25937332146 31701183734 34583109528 47551775601 51874664292 63402367468 95103551202 103749328584 126804734936 142655326803 190207102404 285310653606 380414204808 570621307212 1141242614424