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423422314192032 = 253127110931316069
BaseRepresentation
bin110000001000110011011000…
…0101000001001110010100000
32001112012210000002122200011020
41200101212300220021302200
5420444322344413121112
64100313305323245440
7155121152445426651
oct14021466050116240
92045183002580136
10423422314192032
11112a08438845521
123b5a60b8379880
131523572594b42c
14767ba6c32b528
1533e42bd0e448c
hex18119b0a09ca0

423422314192032 has 96 divisors (see below), whose sum is σ = 1121245580851200. Its totient is φ = 139903155883008.

The previous prime is 423422314192021. The next prime is 423422314192117. The reversal of 423422314192032 is 230291413224324.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2137107 + ... + 29178962.

It is an arithmetic number, because the mean of its divisors is an integer number (11679641467200).

Almost surely, 2423422314192032 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 423422314192032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560622790425600).

423422314192032 is an abundant number, since it is smaller than the sum of its proper divisors (697823266659168).

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

423422314192032 is a wasteful number, since it uses less digits than its factorization.

423422314192032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31317318 (or 31317310 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 423422314192032 in words is "four hundred twenty-three trillion, four hundred twenty-two billion, three hundred fourteen million, one hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1109 1524 2032 2218 3048 3327 4064 4436 6096 6654 8872 12192 13308 17744 26616 35488 53232 106464 140843 281686 422529 563372 845058 1126744 1690116 2253488 3380232 4506976 6760464 13520928 31316069 62632138 93948207 125264276 187896414 250528552 375792828 501057104 751585656 1002114208 1503171312 3006342624 3977140763 7954281526 11931422289 15908563052 23862844578 31817126104 34729520521 47725689156 63634252208 69459041042 95451378312 104188561563 127268504416 138918082084 190902756624 208377123126 277836164168 381805513248 416754246252 555672328336 833508492504 1111344656672 1667016985008 3334033970016 4410649106167 8821298212334 13231947318501 17642596424668 26463894637002 35285192849336 52927789274004 70570385698672 105855578548008 141140771397344 211711157096016 423422314192032