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842903142102 = 232741409398933
BaseRepresentation
bin11000100010000001111…
…00010011111011010110
32222120200100222011202200
430101000330103323112
5102302231201021402
61443120243345330
7114616632330660
oct14210074237326
92876610864680
10842903142102
112a552293842a
1211743a682246
136164062cba8
142cb22325530
1516dd4ad921c
hexc440f13ed6

842903142102 has 96 divisors (see below), whose sum is σ = 2143328765760. Its totient is φ = 234380528640.

The previous prime is 842903142043. The next prime is 842903142157. The reversal of 842903142102 is 201241309248.

842903142102 is a `hidden beast` number, since 8 + 42 + 90 + 314 + 210 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1913428 + ... + 2312360.

It is an arithmetic number, because the mean of its divisors is an integer number (22326341310).

Almost surely, 2842903142102 is an apocalyptic number.

842903142102 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 842903142102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071664382880).

842903142102 is an abundant number, since it is smaller than the sum of its proper divisors (1300425623658).

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

842903142102 is a wasteful number, since it uses less digits than its factorization.

842903142102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399398 (or 399395 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 842903142102 in words is "eight hundred forty-two billion, nine hundred three million, one hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 409 574 738 818 861 1227 1722 2454 2583 2863 3681 5166 5726 7362 8589 16769 17178 25767 33538 50307 51534 100614 117383 150921 234766 301842 352149 398933 704298 797866 1056447 1196799 2112894 2393598 2792531 3590397 5585062 7180794 8377593 16356253 16755186 25132779 32712506 49068759 50265558 98137518 114493771 147206277 163163597 228987542 294412554 326327194 343481313 489490791 686962626 978981582 1030443939 1142145179 1468472373 2060887878 2284290358 2936944746 3426435537 6689707477 6852871074 10279306611 13379414954 20069122431 20558613222 40138244862 46827952339 60207367293 93655904678 120414734586 140483857017 280967714034 421451571051 842903142102