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342224044040004 = 223761502313296527
BaseRepresentation
bin100110111010000000011111…
…0100101000001111101000100
31122212201022002001002220212020
41031310000332211001331010
5324323444320233240004
63211503315550523140
7132040604561131650
oct11564007645017504
91585638061086766
10342224044040004
119a052447109715
123247138bb064b0
13118c57869cb7c9
146071a36ca3a60
1529870757bc8d9
hex137403e941f44

342224044040004 has 96 divisors (see below), whose sum is σ = 927742796660736. Its totient is φ = 96156221143680.

The previous prime is 342224044039993. The next prime is 342224044040023. The reversal of 342224044040004 is 400040440422243.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19089589 + ... + 32386115.

It is an arithmetic number, because the mean of its divisors is an integer number (9663987465216).

Almost surely, 2342224044040004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342224044040004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463871398330368).

342224044040004 is an abundant number, since it is smaller than the sum of its proper divisors (585518752620732).

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

342224044040004 is a wasteful number, since it uses less digits than its factorization.

342224044040004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13301625 (or 13301623 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 342224044040004 its reverse (400040440422243), we get a palindrome (742264484462247).

The spelling of 342224044040004 in words is "three hundred forty-two trillion, two hundred twenty-four billion, forty-four million, forty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 5023 5124 10046 15069 20092 30138 35161 60276 70322 105483 140644 210966 306403 421932 612806 919209 1225612 1838418 2144821 3676836 4289642 6434463 8579284 12868926 13296527 25737852 26593054 39889581 53186108 79779162 93075689 159558324 186151378 279227067 372302756 558454134 811088147 1116908268 1622176294 2433264441 3244352588 4866528882 5677617029 9733057764 11355234058 17032851087 22710468116 34065702174 66788455121 68131404348 133576910242 200365365363 267153820484 400730730726 467519185847 801461461452 935038371694 1402557557541 1870076743388 2805115115082 4074095762381 5610230230164 8148191524762 12222287287143 16296383049524 24444574574286 28518670336667 48889149148572 57037340673334 85556011010001 114074681346668 171112022020002 342224044040004