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42014113120 = 255725358943
BaseRepresentation
bin100111001000001111…
…000111110101100000
311000110000222002021201
4213020033013311200
51142021103104440
631145004130544
73015102032500
oct471017076540
9130400862251
1042014113120
11168aa965041
128186536a54
133c6742b685
142067c9ba00
15115d73619a
hex9c83c7d60

42014113120 has 72 divisors (see below), whose sum is σ = 115463807424. Its totient is φ = 14404836096.

The previous prime is 42014113103. The next prime is 42014113187. The reversal of 42014113120 is 2131141024.

It is a super-2 number, since 2×420141131202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2671632 + ... + 2687311.

It is an arithmetic number, because the mean of its divisors is an integer number (1603663992).

Almost surely, 242014113120 is an apocalyptic number.

42014113120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42014113120 is an abundant number, since it is smaller than the sum of its proper divisors (73449694304).

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

42014113120 is a wasteful number, since it uses less digits than its factorization.

42014113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358972 (or 5358957 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 42014113120 its reverse (2131141024), we get a palindrome (44145254144).

The spelling of 42014113120 in words is "forty-two billion, fourteen million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 5358943 10717886 21435772 26794715 37512601 42871544 53589430 75025202 85743088 107178860 150050404 171486176 187563005 214357720 262588207 300100808 375126010 428715440 525176414 600201616 750252020 857430880 1050352828 1200403232 1312941035 1500504040 2100705656 2625882070 3001008080 4201411312 5251764140 6002016160 8402822624 10503528280 21007056560 42014113120