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42423455432424 = 23311374343105593
BaseRepresentation
bin10011010010101011110101…
…11111011011111011101000
312120012122100112212122200210
421221111322333123323220
521030031214042314144
6230121022200501120
711635664526245523
oct1151257277337350
9176178315778623
1042423455432424
1112576760683850
124911b4947a7a0
131a8968c9a8861
14a694402cdbba
154d87e88b5ab9
hex26957afdbee8

42423455432424 has 64 divisors (see below), whose sum is σ = 118827369051840. Its totient is φ = 12508144104960.

The previous prime is 42423455432419. The next prime is 42423455432453.

42423455432424 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171543029 + ... + 2171562564.

It is an arithmetic number, because the mean of its divisors is an integer number (1856677641435).

Almost surely, 242423455432424 is an apocalyptic number.

42423455432424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42423455432424 is an abundant number, since it is smaller than the sum of its proper divisors (76403913619416).

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

42423455432424 is a wasteful number, since it uses less digits than its factorization.

42423455432424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343105650 (or 4343105646 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 4242345 and 5432424, that added together give a palindrome (9674769).

The spelling of 42423455432424 in words is "forty-two trillion, four hundred twenty-three billion, four hundred fifty-five million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 4343105593 8686211186 13029316779 17372422372 26058633558 34744844744 47774161523 52117267116 95548323046 104234534232 143322484569 160694906941 191096646092 286644969138 321389813882 382193292184 482084720823 573289938276 642779627764 964169441646 1146579876552 1285559255528 1767643976351 1928338883292 3535287952702 3856677766584 5302931929053 7070575905404 10605863858106 14141151810808 21211727716212 42423455432424