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395452321140 = 2235192315082087
BaseRepresentation
bin1011100000100101100…
…10111000110101110100
31101210201202022100101110
411300102302320311310
522434341243234030
6501400203355020
740366451161032
oct5602262706564
91353652270343
10395452321140
1114278a586a18
1264784222a70
132b3a240cac6
14151d6205552
15a44753d1b0
hex5c12cb8d74

395452321140 has 96 divisors (see below), whose sum is σ = 1216219576320. Its totient is φ = 95560096896.

The previous prime is 395452321139. The next prime is 395452321169. The reversal of 395452321140 is 41123254593.

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 31 ways as a sum of consecutive naturals, for example, 7514824 + ... + 7567263.

It is an arithmetic number, because the mean of its divisors is an integer number (12668953920).

Almost surely, 2395452321140 is an apocalyptic number.

395452321140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

395452321140 is an abundant number, since it is smaller than the sum of its proper divisors (820767255180).

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

395452321140 is a wasteful number, since it uses less digits than its factorization.

395452321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15082141 (or 15082139 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 395452321140 in words is "three hundred ninety-five billion, four hundred fifty-two million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 874 1140 1311 1380 1748 2185 2622 4370 5244 6555 8740 13110 26220 15082087 30164174 45246261 60328348 75410435 90492522 150820870 180985044 226231305 286559653 301641740 346888001 452462610 573119306 693776002 859678959 904925220 1040664003 1146238612 1387552004 1432798265 1719357918 1734440005 2081328006 2865596530 3438715836 3468880010 4162656012 4298394795 5203320015 5731193060 6590872019 6937760020 8596789590 10406640030 13181744038 17193579180 19772616057 20813280060 26363488076 32954360095 39545232114 65908720190 79090464228 98863080285 131817440380 197726160570 395452321140