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42410054401 = 11132931477019
BaseRepresentation
bin100111011111110101…
…100001001100000001
311001110121222222121121
4213133311201030001
51143323433220101
631252150352241
73030650341321
oct473765411401
9131417888547
1042410054401
1116a93408640
12827705b681
133ccb47b760
1420a46c7281
1511833970a1
hex9dfd61301

42410054401 has 64 divisors (see below), whose sum is σ = 54344908800. Its totient is φ = 32541062400.

The previous prime is 42410054399. The next prime is 42410054437. The reversal of 42410054401 is 10445001424.

42410054401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42410054401 - 21 = 42410054399 is a prime.

It is a super-2 number, since 2×424100544012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42410054801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6038670 + ... + 6045688.

It is an arithmetic number, because the mean of its divisors is an integer number (849139200).

Almost surely, 242410054401 is an apocalyptic number.

It is an amenable number.

42410054401 is a deficient number, since it is larger than the sum of its proper divisors (11934854399).

42410054401 is a wasteful number, since it uses less digits than its factorization.

42410054401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150.

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 42410054401 its reverse (10445001424), we get a palindrome (52855055825).

The spelling of 42410054401 in words is "forty-two billion, four hundred ten million, fifty-four thousand, four hundred one".

Divisors: 1 11 13 29 31 47 143 319 341 377 403 517 611 899 1363 1457 4147 4433 6721 7019 9889 11687 14993 16027 17719 18941 42253 77209 91247 128557 194909 203551 208351 217589 329893 464783 549289 1003717 2239061 2393479 2646163 2828657 3628823 4288609 6042179 6310081 9566897 10226683 29107793 31115227 47174699 69410891 82031053 105235867 112493513 124369661 132946879 296573807 902341583 1368066271 1462415669 3262311877 3855459491 42410054401