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146380364232 = 23352199111813
BaseRepresentation
bin1000100001010011110…
…0110001100111001000
3111222211111110222001120
42020110330301213020
54344241333123412
6151125103115240
713401304365204
oct2102474614710
9458744428046
10146380364232
1157096999233
12244525a2b20
1310a5a6b594b
147128b6db04
153c1ae3eb8c
hex2214f319c8

146380364232 has 64 divisors (see below), whose sum is σ = 367054364160. Its totient is φ = 48646540800.

The previous prime is 146380364227. The next prime is 146380364233. The reversal of 146380364232 is 232463083641.

It is a super-2 number, since 2×1463803642322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146380364233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12385558 + ... + 12397370.

It is an arithmetic number, because the mean of its divisors is an integer number (5735224440).

Almost surely, 2146380364232 is an apocalyptic number.

146380364232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146380364232 is an abundant number, since it is smaller than the sum of its proper divisors (220673999928).

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

146380364232 is a wasteful number, since it uses less digits than its factorization.

146380364232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13334 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 146380364232 in words is "one hundred forty-six billion, three hundred eighty million, three hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 521 991 1042 1563 1982 2084 2973 3126 3964 4168 5946 6252 7928 11813 11892 12504 23626 23784 35439 47252 70878 94504 141756 283512 516311 1032622 1548933 2065244 3097866 4130488 6154573 6195732 11706683 12309146 12391464 18463719 23413366 24618292 35120049 36927438 46826732 49236584 70240098 73854876 93653464 140480196 147709752 280960392 6099181843 12198363686 18297545529 24396727372 36595091058 48793454744 73190182116 146380364232