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42242212144 = 2411652936761
BaseRepresentation
bin100111010101110101…
…010000000100110000
311001000221011201022201
4213111311100010300
51143003001242034
631223353112544
73023541610306
oct472565200460
9131027151281
1042242212144
1116a0769a230
12822a9b8754
133ca2773602
14208a2b6276
151173791014
hex9d5d50130

42242212144 has 40 divisors (see below), whose sum is σ = 89300779920. Its totient is φ = 19197542400.

The previous prime is 42242212127. The next prime is 42242212171. The reversal of 42242212144 is 44121224224.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130724 + ... + 1167484.

It is an arithmetic number, because the mean of its divisors is an integer number (2232519498).

Almost surely, 242242212144 is an apocalyptic number.

42242212144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42242212144 is an abundant number, since it is smaller than the sum of its proper divisors (47058567776).

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

42242212144 is a wasteful number, since it uses less digits than its factorization.

42242212144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43309 (or 43303 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

Adding to 42242212144 its reverse (44121224224), we get a palindrome (86363436368).

The spelling of 42242212144 in words is "forty-two billion, two hundred forty-two million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 6529 13058 26116 36761 52232 71819 73522 104464 143638 147044 287276 294088 404371 574552 588176 808742 1149104 1617484 3234968 6469936 240012569 480025138 960050276 1920100552 2640138259 3840201104 5280276518 10560553036 21121106072 42242212144