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1142055405414 = 2327111316290029
BaseRepresentation
bin10000100111100111110…
…011101000011101100110
311001011211210201201101200
4100213213303220131212
5122202412140433124
62232353014503330
7145340124526650
oct20474763503546
94034753651350
101142055405414
114003855595a0
12165408064b46
1383906933751
143d3c0a336d0
151ea92b41bc9
hex109e7ce8766

1142055405414 has 96 divisors (see below), whose sum is σ = 3108583146240. Its totient is φ = 294373310400.

The previous prime is 1142055405401. The next prime is 1142055405473. The reversal of 1142055405414 is 4145045502411.

1142055405414 is a `hidden beast` number, since 1 + 1 + 4 + 20 + 55 + 40 + 541 + 4 = 666.

It is a super-3 number, since 3×11420554054143 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2963449 + ... + 3326580.

It is an arithmetic number, because the mean of its divisors is an integer number (32381074440).

Almost surely, 21142055405414 is an apocalyptic number.

1142055405414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1142055405414 is an abundant number, since it is smaller than the sum of its proper divisors (1966527740826).

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

1142055405414 is a wasteful number, since it uses less digits than its factorization.

1142055405414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290186 (or 6290183 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 1142055405414 in words is "one trillion, one hundred forty-two billion, fifty-five million, four hundred five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 131 154 198 231 262 393 462 693 786 917 1179 1386 1441 1834 2358 2751 2882 4323 5502 8253 8646 10087 12969 16506 20174 25938 30261 60522 90783 181566 6290029 12580058 18870087 37740174 44030203 56610261 69190319 88060406 113220522 132090609 138380638 207570957 264181218 396271827 415141914 484332233 622712871 792543654 823993799 968664466 1245425742 1452996699 1647987598 2471981397 2905993398 4358990097 4943962794 5767956593 7415944191 8717980194 9063931789 11535913186 14831888382 17303869779 18127863578 27191795367 34607739558 51911609337 54383590734 63447522523 81575386101 103823218674 126895045046 163150772202 190342567569 380685135138 571027702707 1142055405414