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16314106230330 = 2354317999171293
BaseRepresentation
bin1110110101100110110010…
…0000011011011000111010
32010202121120010001120122220
43231121230200123120322
54114242242143332310
654410332534424510
73302440521641106
oct355315440333072
963677503046586
1016314106230330
11521a856728367
1219b5949202136
1391454b93b36c
1440586d6aa906
151d4579ba3670
hexed66c81b63a

16314106230330 has 128 divisors (see below), whose sum is σ = 40329453035520. Its totient is φ = 4221193616640.

The previous prime is 16314106230313. The next prime is 16314106230421. The reversal of 16314106230330 is 3303260141361.

It is a junction number, because it is equal to n+sod(n) for n = 16314106230291 and 16314106230300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228796164 + ... + 228867456.

It is an arithmetic number, because the mean of its divisors is an integer number (315073851840).

Almost surely, 216314106230330 is an apocalyptic number.

16314106230330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16314106230330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20164726517760).

16314106230330 is an abundant number, since it is smaller than the sum of its proper divisors (24015346805190).

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

16314106230330 is a wasteful number, since it uses less digits than its factorization.

16314106230330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72516.

The product of its (nonzero) digits is 23328, while the sum is 33.

Adding to 16314106230330 its reverse (3303260141361), we get a palindrome (19617366371691).

The spelling of 16314106230330 in words is "sixteen trillion, three hundred fourteen billion, one hundred six million, two hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 179 215 258 358 430 537 645 895 991 1074 1290 1790 1982 2685 2973 4955 5370 5946 7697 9910 14865 15394 23091 29730 38485 42613 46182 71293 76970 85226 115455 127839 142586 177389 213065 213879 230910 255678 354778 356465 426130 427758 532167 639195 712930 886945 1064334 1069395 1278390 1773890 2138790 2660835 3065599 5321670 6131198 7627727 9196797 12761447 15255454 15327995 18393594 22883181 25522894 30655990 38138635 38284341 45766362 45983985 63807235 70651363 76277270 76568682 91967970 114415905 127614470 141302726 191421705 211954089 228831810 353256815 382843410 423908178 548742221 706513630 1059770445 1097484442 1646226663 2119540890 2743711105 3038008609 3292453326 5487422210 6076017218 8231133315 9114025827 12646593977 15190043045 16462266630 18228051654 25293187954 30380086090 37939781931 45570129135 63232969885 75879563862 91140258270 126465939770 189698909655 379397819310 543803541011 1087607082022 1631410623033 2719017705055 3262821246066 5438035410110 8157053115165 16314106230330