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442233140334342 = 237103180751565567
BaseRepresentation
bin110010010001101010110110…
…1001111001100111100000110
32010222211002000220201002011020
41210203111231033030330012
5430431021432411144332
64204315033334452010
7162102201322444620
oct14443255517147406
92128732026632136
10442233140334342
11118a000267a7415
12417238b3b04006
1315c9b53853b926
147b2c2abbd5c10
15361d77393a82c
hex192356d3ccf06

442233140334342 has 64 divisors (see below), whose sum is σ = 1020639830605824. Its totient is φ = 125124690708000.

The previous prime is 442233140334301. The next prime is 442233140334343. The reversal of 442233140334342 is 243433041332244.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 442233140334294 and 442233140334303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442233140334343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781646043 + ... + 782211609.

It is an arithmetic number, because the mean of its divisors is an integer number (15947497353216).

Almost surely, 2442233140334342 is an apocalyptic number.

442233140334342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

442233140334342 is an abundant number, since it is smaller than the sum of its proper divisors (578406690271482).

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

442233140334342 is a wasteful number, since it uses less digits than its factorization.

442233140334342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746433.

The product of its (nonzero) digits is 1990656, while the sum is 42.

Adding to 442233140334342 its reverse (243433041332244), we get a palindrome (685666181666586).

The spelling of 442233140334342 in words is "four hundred forty-two trillion, two hundred thirty-three billion, one hundred forty million, three hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 103 206 309 618 721 1442 2163 4326 180751 361502 542253 565567 1084506 1131134 1265257 1696701 2530514 3393402 3795771 3958969 7591542 7917938 11876907 18617353 23753814 37234706 55852059 58253401 111704118 116506802 130321471 174760203 260642942 349520406 390964413 407773807 781928826 815547614 1223321421 2446642842 102226800817 204453601634 306680402451 613360804902 715587605719 1431175211438 2146762817157 4293525634314 10529360484151 21058720968302 31588081452453 63176162904906 73705523389057 147411046778114 221116570167171 442233140334342