Search a number
-
+
146165034114 = 2351134978341
BaseRepresentation
bin1000100000100000011…
…1010110110010000010
3111222021111022001200000
42020020013112302002
54343321222042424
6151051451540430
713363051201461
oct2101007266202
9458244261600
10146165034114
1156a96395560
12243b245a716
1310a24bc1988
14710831a9d8
153c070a83c9
hex22081d6c82

146165034114 has 96 divisors (see below), whose sum is σ = 359307748800. Its totient is φ = 44164958400.

The previous prime is 146165034107. The next prime is 146165034133. The reversal of 146165034114 is 411430561641.

146165034114 is a `hidden beast` number, since 1 + 4 + 616 + 5 + 0 + 34 + 1 + 1 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1826584 + ... + 1904924.

It is an arithmetic number, because the mean of its divisors is an integer number (3742789050).

Almost surely, 2146165034114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146165034114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179653874400).

146165034114 is an abundant number, since it is smaller than the sum of its proper divisors (213142714686).

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

146165034114 is a wasteful number, since it uses less digits than its factorization.

146165034114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78718 (or 78706 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 146165034114 its reverse (411430561641), we get a palindrome (557595595755).

The spelling of 146165034114 in words is "one hundred forty-six billion, one hundred sixty-five million, thirty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 349 486 594 698 891 1047 1782 2094 2673 3141 3839 5346 6282 7678 9423 11517 18846 23034 28269 34551 56538 69102 78341 84807 103653 156682 169614 207306 235023 310959 470046 621918 705069 861751 932877 1410138 1723502 1865754 2115207 2585253 4230414 5170506 6345621 7755759 12691242 15511518 19036863 23267277 27341009 38073726 46534554 54682018 69801831 82023027 139603662 164046054 209405493 246069081 300751099 418810986 492138162 601502198 738207243 902253297 1476414486 1804506594 2214621729 2706759891 4429243458 5413519782 6643865187 8120279673 13287730374 16240559346 24360839019 48721678038 73082517057 146165034114