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146311042164 = 223721741356999
BaseRepresentation
bin1000100001000011010…
…0010101010001110100
3111222122200001001001120
42020100310111101310
54344121111322124
6151114145223540
713366503224100
oct2102064252164
9458580031046
10146311042164
1157060850571
1224433331bb0
1310a49223881
14711d886900
153c14ce9d79
hex2210d15474

146311042164 has 144 divisors (see below), whose sum is σ = 430747632000. Its totient is φ = 38384424960.

The previous prime is 146311042139. The next prime is 146311042187. The reversal of 146311042164 is 461240113641.

It is a congruent 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, 231337 + ... + 588335.

It is an arithmetic number, because the mean of its divisors is an integer number (2991303000).

Almost surely, 2146311042164 is an apocalyptic number.

146311042164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146311042164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215373816000).

146311042164 is an abundant number, since it is smaller than the sum of its proper divisors (284436589836).

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

146311042164 is a wasteful number, since it uses less digits than its factorization.

146311042164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357078 (or 357069 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 146311042164 in words is "one hundred forty-six billion, three hundred eleven million, forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 49 51 68 82 84 98 102 119 123 147 164 196 204 238 246 287 294 357 476 492 574 588 697 714 833 861 1148 1394 1428 1666 1722 2009 2091 2499 2788 3332 3444 4018 4182 4879 4998 6027 8036 8364 9758 9996 12054 14637 19516 24108 29274 34153 58548 68306 102459 136612 204918 356999 409836 713998 1070997 1427996 2141994 2498993 4283988 4997986 6068983 7496979 9995972 12137966 14636959 14993958 17492951 18206949 24275932 29273918 29987916 34985902 36413898 42482881 43910877 52478853 58547836 69971804 72827796 84965762 87821754 102458713 104957706 127448643 169931524 175643508 204917426 209915412 248828303 254897286 297380167 307376139 409834852 497656606 509794572 594760334 614752278 717210991 746484909 892140501 995313212 1189520668 1229504556 1434421982 1492969818 1741798121 1784281002 2151632973 2868843964 2985939636 3483596242 3568562004 4303265946 5225394363 6967192484 8606531892 10450788726 12192586847 20901577452 24385173694 36577760541 48770347388 73155521082 146311042164