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4165343156142 = 234723179892189
BaseRepresentation
bin111100100111010001110…
…011001001011110101110
3112202012110221000022020000
4330213101303021132232
51021221110321444032
612505310543405130
7606636041435040
oct74472163113656
915665427008200
104165343156142
11136656a692053
12573330bb37a6
13242a37021cbc
1410586471da90
157353ba84e7c
hex3c9d1cc97ae

4165343156142 has 160 divisors (see below), whose sum is σ = 11192773363200. Its totient is φ = 1131993859392.

The previous prime is 4165343156111. The next prime is 4165343156159. The reversal of 4165343156142 is 2416513435614.

4165343156142 is a `hidden beast` number, since 4 + 1 + 6 + 5 + 3 + 43 + 1 + 561 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4222584 + ... + 5114772.

It is an arithmetic number, because the mean of its divisors is an integer number (69954833520).

Almost surely, 24165343156142 is an apocalyptic number.

4165343156142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165343156142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596386681600).

4165343156142 is an abundant number, since it is smaller than the sum of its proper divisors (7027430207058).

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

4165343156142 is a wasteful number, since it uses less digits than its factorization.

4165343156142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892412 (or 892403 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 4165343156142 in words is "four trillion, one hundred sixty-five billion, three hundred forty-three million, one hundred fifty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 179 189 207 322 358 378 414 483 537 567 621 966 1074 1134 1242 1253 1449 1611 1863 2506 2898 3222 3726 3759 4117 4347 4833 7518 8234 8694 9666 11277 12351 13041 14499 22554 24702 26082 28819 28998 33831 37053 57638 67662 74106 86457 101493 111159 172914 202986 222318 259371 333477 518742 666954 778113 892189 1556226 1784378 2334339 2676567 4668678 5353134 6245323 8029701 12490646 16059402 18735969 20520347 24089103 37471938 41040694 48178206 56207907 61561041 72267309 112415814 123122082 143642429 144534618 159701831 168623721 184683123 287284858 319403662 337247442 369366246 430927287 479105493 505871163 554049369 861854574 958210986 1011742326 1108098738 1117912817 1292781861 1437316479 1662148107 2235825634 2585563722 2874632958 3324296214 3353738451 3673142113 3878345583 4311949437 6707476902 7346284226 7756691166 8623898874 10061215353 11019426339 11635036749 12935848311 20122430706 22038852678 23270073498 25711994791 25871696622 30183646059 33058279017 51423989582 60367292118 66116558034 77135984373 90550938177 99174837051 154271968746 181101876354 198349674102 231407953119 297524511153 462815906238 595049022306 694223859357 1388447718714 2082671578071 4165343156142