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2342232322432 = 27293471818413
BaseRepresentation
bin100010000101010111111…
…011001111000110000000
322021220201012100010220021
4202011113323033012000
5301333342433304212
64552001235223224
7331135462151032
oct42052773170600
98256635303807
102342232322432
118233760a1aa2
12319b34a47b14
1313cb43a82c82
1481516851c52
1540dd8127307
hex22157ecf180

2342232322432 has 64 divisors (see below), whose sum is σ = 4840981750800. Its totient is φ = 1127473629184.

The previous prime is 2342232322373. The next prime is 2342232322483.

2342232322432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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, 378858 + ... + 2197270.

Almost surely, 22342232322432 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 2342232322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420490875400).

2342232322432 is an abundant number, since it is smaller than the sum of its proper divisors (2498749428368).

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

2342232322432 is a wasteful number, since it uses less digits than its factorization.

2342232322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818803 (or 1818791 counting only the distinct ones).

The product of its digits is 165888, while the sum is 34.

The spelling of 2342232322432 in words is "two trillion, three hundred forty-two billion, two hundred thirty-two million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 347 464 694 928 1388 1856 2776 3712 5552 10063 11104 20126 22208 40252 44416 80504 161008 322016 644032 1288064 1818413 3636826 7273652 14547304 29094608 52733977 58189216 105467954 116378432 210935908 232756864 421871816 630989311 843743632 1261978622 1687487264 2523957244 3374974528 5047914488 6749949056 10095828976 18298690019 20191657952 36597380038 40383315904 73194760076 80766631808 146389520152 292779040304 585558080608 1171116161216 2342232322432