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1142004234114 = 232197383551113
BaseRepresentation
bin10000100111100100110…
…000011011011110000010
311001011201020102221120100
4100213210300123132002
5122202311040442424
62232343550023230
7145335633553332
oct20474460333602
94034636387510
101142004234114
11400359688867
121653b2aa7b16
13838c9158183
143d3b7d130c2
151ea8d3d4dc9
hex109e4c1b782

1142004234114 has 96 divisors (see below), whose sum is σ = 2672065206720. Its totient is φ = 351406646784.

The previous prime is 1142004234109. The next prime is 1142004234127. The reversal of 1142004234114 is 4114324002411.

1142004234114 is a `hidden beast` number, since 1 + 1 + 4 + 200 + 42 + 3 + 411 + 4 = 666.

It is a Curzon 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, 1796622 + ... + 2347734.

It is an arithmetic number, because the mean of its divisors is an integer number (27834012570).

Almost surely, 21142004234114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142004234114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336032603360).

1142004234114 is an abundant number, since it is smaller than the sum of its proper divisors (1530060972606).

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

1142004234114 is a wasteful number, since it uses less digits than its factorization.

1142004234114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551296 (or 551293 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1142004234114 its reverse (4114324002411), we get a palindrome (5256328236525).

The spelling of 1142004234114 in words is "one trillion, one hundred forty-two billion, four million, two hundred thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 73 83 114 146 166 171 219 249 342 438 498 657 747 1314 1387 1494 1577 2774 3154 4161 4731 6059 8322 9462 12118 12483 14193 18177 24966 28386 36354 54531 109062 115121 230242 345363 551113 690726 1036089 1102226 1653339 2072178 3306678 4960017 9920034 10471147 20942294 31413441 40231249 45742379 62826882 80462498 91484758 94240323 120693747 137227137 188480646 241387494 274454274 362081241 411681411 724162482 764393731 823362822 869105201 1528787462 1738210402 2293181193 2607315603 3339193667 4586362386 5214631206 6678387334 6879543579 7821946809 10017581001 13759087158 15643893618 20035162002 30052743003 60105486006 63444679673 126889359346 190334039019 380668078038 571002117057 1142004234114