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1434422302432 = 257173747536167
BaseRepresentation
bin10100110111111010001…
…110110101011011100000
312002010111100121221022221
4110313322032311123200
5142000144102134212
63014544200040424
7205430215252630
oct24677216653340
95063440557287
101434422302432
11503375aa3619
121b2001163114
13a535b240372
144d5d80d66c0
15274a512a807
hex14dfa3b56e0

1434422302432 has 768 divisors, whose sum is σ = 3767230881792. Its totient is φ = 523781406720.

The previous prime is 1434422302387. The next prime is 1434422302441. The reversal of 1434422302432 is 2342032244341.

It is a super-2 number, since 2×14344223024322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21409288063 + ... + 21409288129.

It is an arithmetic number, because the mean of its divisors is an integer number (4905248544).

Almost surely, 21434422302432 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 1434422302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883615440896).

1434422302432 is an abundant number, since it is smaller than the sum of its proper divisors (2332808579360).

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

1434422302432 is a wasteful number, since it uses less digits than its factorization.

1434422302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 1434422302432 its reverse (2342032244341), we get a palindrome (3776454546773).

The spelling of 1434422302432 in words is "one trillion, four hundred thirty-four billion, four hundred twenty-two million, three hundred two thousand, four hundred thirty-two".