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2123330014432 = 251126922424489
BaseRepresentation
bin11110111001100000010…
…101001100110011100000
321111222200112000201111101
4132321200111030303200
5234242034440430212
64303235551124144
7306256045221244
oct36714025146340
97458615021441
102123330014432
11749554490050
122a3622b13654
131252c960c483
1474aac186424
153a3754b4157
hex1ee6054cce0

2123330014432 has 48 divisors (see below), whose sum is σ = 4577286898800. Its totient is φ = 961562045440.

The previous prime is 2123330014409. The next prime is 2123330014447. The reversal of 2123330014432 is 2344100333212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2123330014432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11117557 + ... + 11306932.

It is an arithmetic number, because the mean of its divisors is an integer number (95360143725).

Almost surely, 22123330014432 is an apocalyptic number.

2123330014432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2123330014432 is an abundant number, since it is smaller than the sum of its proper divisors (2453956884368).

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

2123330014432 is a wasteful number, since it uses less digits than its factorization.

2123330014432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22424779 (or 22424771 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2123330014432 its reverse (2344100333212), we get a palindrome (4467430347644).

The spelling of 2123330014432 in words is "two trillion, one hundred twenty-three billion, three hundred thirty million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 269 352 538 1076 2152 2959 4304 5918 8608 11836 23672 47344 94688 22424489 44848978 89697956 179395912 246669379 358791824 493338758 717583648 986677516 1973355032 3946710064 6032187541 7893420128 12064375082 24128750164 48257500328 66354062951 96515000656 132708125902 193030001312 265416251804 530832503608 1061665007216 2123330014432