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433142241420 = 223572147327293
BaseRepresentation
bin1100100110110010100…
…10100001100010001100
31112102000102112200020210
412103121102201202030
524044033403211140
6530552141242420
743202445206400
oct6233122414214
91472012480223
10433142241420
11157770559969
126bb42563410
1331aca9cb295
1416d6da7d100
15b401311d80
hex64d94a188c

433142241420 has 72 divisors (see below), whose sum is σ = 1410806167344. Its totient is φ = 99003940224.

The previous prime is 433142241403. The next prime is 433142241421. The reversal of 433142241420 is 24142241334.

It is a super-2 number, since 2×4331422414202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (433142241421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73660707 + ... + 73666586.

It is an arithmetic number, because the mean of its divisors is an integer number (19594530102).

Almost surely, 2433142241420 is an apocalyptic number.

It is an amenable number.

433142241420 is an abundant number, since it is smaller than the sum of its proper divisors (977663925924).

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

433142241420 is a wasteful number, since it uses less digits than its factorization.

433142241420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147327319 (or 147327310 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 433142241420 its reverse (24142241334), we get a palindrome (457284482754).

The spelling of 433142241420 in words is "four hundred thirty-three billion, one hundred forty-two million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 147327293 294654586 441981879 589309172 736636465 883963758 1031291051 1473272930 1767927516 2062582102 2209909395 2946545860 3093873153 4125164204 4419818790 5156455255 6187746306 7219037357 8839637580 10312910510 12375492612 14438074714 15469365765 20625821020 21657112071 28876149428 30938731530 36095186785 43314224142 61877463060 72190373570 86628448284 108285560355 144380747140 216571120710 433142241420