Search a number
-
+
2334344044032 = 293472111329277
BaseRepresentation
bin100001111110000001101…
…111110101111000000000
322021011100110011002020000
4201332001233311320000
5301221214033402112
64544214410120000
7330436135662600
oct41760157657000
98234313132200
102334344044032
1181aa983a1750
123184b3120000
1313c187728a10
1480da8d4ac00
1540ac58497dc
hex21f81bf5e00

2334344044032 has 2400 divisors, whose sum is σ = 9885785706720. Its totient is φ = 538432634880.

The previous prime is 2334344044007. The next prime is 2334344044057. The reversal of 2334344044032 is 2304404434332.

It is an interprime number because it is at equal distance from previous prime (2334344044007) and next prime (2334344044057).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8427234678 + ... + 8427234954.

Almost surely, 22334344044032 is an apocalyptic number.

2334344044032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334344044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942892853360).

2334344044032 is an abundant number, since it is smaller than the sum of its proper divisors (7551441662688).

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

2334344044032 is a wasteful number, since it uses less digits than its factorization.

2334344044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 2334344044032 its reverse (2304404434332), we get a palindrome (4638748478364).

The spelling of 2334344044032 in words is "two trillion, three hundred thirty-four billion, three hundred forty-four million, forty-four thousand, thirty-two".