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312423240030042 = 231714930047684157
BaseRepresentation
bin100011100001001011011010…
…0001111011101011101011010
31111222012100222202210220112210
41013002112310033131131122
5311422220243421430132
63024245131033015550
7122543556064422201
oct10702266417353532
91458170882726483
10312423240030042
1190602a5215a219
122b059872b545b6
13105435011535ab
145721518d08238
15261bca359cbcc
hex11c25b43dd75a

312423240030042 has 64 divisors (see below), whose sum is σ = 666065578521600. Its totient is φ = 97353931969536.

The previous prime is 312423240030017. The next prime is 312423240030071. The reversal of 312423240030042 is 240030042324213.

It is a junction number, because it is equal to n+sod(n) for n = 312423240029991 and 312423240030009.

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, 456312228 + ... + 456996384.

It is an arithmetic number, because the mean of its divisors is an integer number (10407274664400).

Almost surely, 2312423240030042 is an apocalyptic number.

312423240030042 is an abundant number, since it is smaller than the sum of its proper divisors (353642338491558).

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

312423240030042 is a wasteful number, since it uses less digits than its factorization.

312423240030042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714375.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 312423240030042 its reverse (240030042324213), we get a palindrome (552453282354255).

The spelling of 312423240030042 in words is "three hundred twelve trillion, four hundred twenty-three billion, two hundred forty million, thirty thousand, forty-two".

Divisors: 1 2 3 6 17 34 51 102 149 298 447 894 2533 5066 7599 15198 30047 60094 90141 180282 510799 684157 1021598 1368314 1532397 2052471 3064794 4104942 4477003 8954006 11630669 13431009 23261338 26862018 34892007 69784014 76109051 101939393 152218102 203878786 228327153 305818179 456654306 611636358 1732969681 3465939362 5198909043 10397818086 20556865379 41113730758 61670596137 123341192274 349466711443 698933422886 1048400134329 2096800268658 3062972941471 6125945882942 9188918824413 18377837648826 52070540005007 104141080010014 156211620015021 312423240030042