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1142433554004 = 2233293145324847
BaseRepresentation
bin10000100111111110010…
…110001001111001010100
311001012211011021122202000
4100213332112021321110
5122204200442212004
62232454323515300
7145352365661661
oct20477626117124
94035734248660
101142433554004
11400559a5a196
121654b2828b30
1383967094002
143d418d4aa68
151eab5e3ac39
hex109fe589e54

1142433554004 has 96 divisors (see below), whose sum is σ = 2974138621440. Its totient is φ = 379235032704.

The previous prime is 1142433553999. The next prime is 1142433554011. The reversal of 1142433554004 is 4004553342411.

1142433554004 is a `hidden beast` number, since 1 + 1 + 4 + 243 + 3 + 5 + 5 + 400 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1142433554004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45966309 + ... + 45991155.

It is an arithmetic number, because the mean of its divisors is an integer number (30980610640).

Almost surely, 21142433554004 is an apocalyptic number.

It is an amenable number.

1142433554004 is an abundant number, since it is smaller than the sum of its proper divisors (1831705067436).

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

1142433554004 is a wasteful number, since it uses less digits than its factorization.

1142433554004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26606 (or 26598 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 1142433554004 its reverse (4004553342411), we get a palindrome (5146986896415).

The spelling of 1142433554004 in words is "one trillion, one hundred forty-two billion, four hundred thirty-three million, five hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 293 586 879 1172 1453 1758 2637 2906 3516 4359 5274 5812 7911 8718 10548 13077 15822 17436 24847 26154 31644 39231 49694 52308 74541 78462 99388 149082 156924 223623 298164 425729 447246 670869 851458 894492 1277187 1341738 1702916 2554374 2683476 3831561 5108748 7280171 7663122 11494683 14560342 15326244 21840513 22989366 29120684 36102691 43681026 45978732 65521539 72205382 87362052 108308073 131043078 144410764 196564617 216616146 262086156 324924219 393129234 433232292 649848438 786258468 974772657 1299696876 1949545314 3899090628 10578088463 21156176926 31734265389 42312353852 63468530778 95202796167 126937061556 190405592334 285608388501 380811184668 571216777002 1142433554004