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1142034322324 = 2271923109185549
BaseRepresentation
bin10000100111100110100…
…011001101001110010100
311001011210100001120211111
4100213212203031032110
5122202341241303244
62232350542544404
7145336450400140
oct20474643151624
94034710046744
101142034322324
11400374669555
12165400b98104
138390246134c
143d3bbd06220
151ea90d79e34
hex109e68cd394

1142034322324 has 96 divisors (see below), whose sum is σ = 2511145728000. Its totient is φ = 443111264640.

The previous prime is 1142034322321. The next prime is 1142034322349. The reversal of 1142034322324 is 4232234302411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142034322321) 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 31 ways as a sum of consecutive naturals, for example, 13306702 + ... + 13392250.

It is an arithmetic number, because the mean of its divisors is an integer number (26157768000).

Almost surely, 21142034322324 is an apocalyptic number.

1142034322324 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 1142034322324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255572864000).

1142034322324 is an abundant number, since it is smaller than the sum of its proper divisors (1369111405676).

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

1142034322324 is a wasteful number, since it uses less digits than its factorization.

1142034322324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86693 (or 86691 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 1142034322324 its reverse (4232234302411), we get a palindrome (5374268624735).

The spelling of 1142034322324 in words is "one trillion, one hundred forty-two billion, thirty-four million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1091 1748 2182 3059 4364 6118 7637 12236 15274 20729 25093 30548 41458 50186 82916 85549 100372 145103 171098 175651 290206 342196 351302 476767 580412 598843 702604 953534 1197686 1625431 1907068 1967627 2395372 3250862 3337369 3935254 6501724 6674738 7870508 11378017 13349476 13773389 22756034 27546778 37384913 45512068 55093556 74769826 93333959 149539652 186667918 261694391 373335836 523388782 653337713 1046777564 1306675426 1773345221 2146681057 2613350852 3546690442 4293362114 7093380884 8586724228 12413416547 15026767399 24826833094 30053534798 40786940083 49653666188 60107069596 81573880166 163147760332 285508580581 571017161162 1142034322324