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2144042234334 = 23472111310118701
BaseRepresentation
bin11111001100110010111…
…000000011000111011110
321120222010222201111210000
4133030302320003013132
5240111444302444314
64320543121555130
7310621236203100
oct37146270030736
97528128644700
102144042234334
11757312a45460
122a76434a5aa6
1312724a7145b0
1475ab4ca7570
153ab88a18209
hex1f332e031de

2144042234334 has 480 divisors, whose sum is σ = 6630999373152. Its totient is φ = 508939200000.

The previous prime is 2144042234311. The next prime is 2144042234357. The reversal of 2144042234334 is 4334322404412.

2144042234334 is a `hidden beast` number, since 2 + 14 + 40 + 42 + 234 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (2144042234311) and next prime (2144042234357).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 114639184 + ... + 114657884.

Almost surely, 22144042234334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144042234334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315499686576).

2144042234334 is an abundant number, since it is smaller than the sum of its proper divisors (4486957138818).

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

2144042234334 is a wasteful number, since it uses less digits than its factorization.

2144042234334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18854 (or 18838 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2144042234334 its reverse (4334322404412), we get a palindrome (6478364638746).

The spelling of 2144042234334 in words is "two trillion, one hundred forty-four billion, forty-two million, two hundred thirty-four thousand, three hundred thirty-four".