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42333001120 = 2551033256129
BaseRepresentation
bin100111011011001111…
…100101010110100000
311001021021000021101101
4213123033211112200
51143144222013440
631240355044144
73026023400224
oct473317452640
9131237007341
1042333001120
1116a5396a343
1282552a0654
133cb85106b7
14209838a784
15117b72669a
hex9db3e55a0

42333001120 has 48 divisors (see below), whose sum is σ = 100108922760. Its totient is φ = 16916742144.

The previous prime is 42333001103. The next prime is 42333001121. The reversal of 42333001120 is 2110033324.

It can be written as a sum of positive squares in 4 ways, for example, as 41562161424 + 770839696 = 203868^2 + 27764^2 .

It is not an unprimeable number, because it can be changed into a prime (42333001121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37216 + ... + 293344.

Almost surely, 242333001120 is an apocalyptic number.

42333001120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42333001120 is an abundant number, since it is smaller than the sum of its proper divisors (57775921640).

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

42333001120 is a wasteful number, since it uses less digits than its factorization.

42333001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257177 (or 257169 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 42333001120 its reverse (2110033324), we get a palindrome (44443034444).

The spelling of 42333001120 in words is "forty-two billion, three hundred thirty-three million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1033 2066 4132 5165 8264 10330 16528 20660 33056 41320 82640 165280 256129 512258 1024516 1280645 2049032 2561290 4098064 5122580 8196128 10245160 20490320 40980640 264581257 529162514 1058325028 1322906285 2116650056 2645812570 4233300112 5291625140 8466600224 10583250280 21166500560 42333001120