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2434443054432 = 253143917622503
BaseRepresentation
bin100011011011010000000…
…111010000110101100000
322121201201112002200012120
4203123100013100311200
5304341214410220212
65102211231224240
7340611524352264
oct43332007206540
98551645080176
102434443054432
11859494702824
1233398a078080
1314874a8c369c
1485b831c20a4
15434d35e088c
hex236d01d0d60

2434443054432 has 48 divisors (see below), whose sum is σ = 6394854251520. Its totient is φ = 810917052032.

The previous prime is 2434443054413. The next prime is 2434443054437. The reversal of 2434443054432 is 2344503444342.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434443054437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8673108 + ... + 8949395.

It is an arithmetic number, because the mean of its divisors is an integer number (133226130240).

Almost surely, 22434443054432 is an apocalyptic number.

It is an amenable number.

2434443054432 is an abundant number, since it is smaller than the sum of its proper divisors (3960411197088).

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

2434443054432 is a wasteful number, since it uses less digits than its factorization.

2434443054432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17623955 (or 17623947 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 42.

Adding to 2434443054432 its reverse (2344503444342), we get a palindrome (4778946498774).

The spelling of 2434443054432 in words is "two trillion, four hundred thirty-four billion, four hundred forty-three million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1439 2878 4317 5756 8634 11512 17268 23024 34536 46048 69072 138144 17622503 35245006 52867509 70490012 105735018 140980024 211470036 281960048 422940072 563920096 845880144 1691760288 25358781817 50717563634 76076345451 101435127268 152152690902 202870254536 304305381804 405740509072 608610763608 811481018144 1217221527216 2434443054432