Search a number
-
+
2114523331920 = 2434519235373193
BaseRepresentation
bin11110110001010011011…
…010010111110101010000
321111010221202200220020000
4132301103122113311100
5234121020433110140
64255222033250000
7305524600523106
oct36612332276520
97433852626200
102114523331920
1174584532813a
122a1985703900
13124524c1692c
14744b46d3c76
153a00c271a30
hex1ec53697d50

2114523331920 has 1600 divisors, whose sum is σ = 8374651845120. Its totient is φ = 491899060224.

The previous prime is 2114523331883. The next prime is 2114523331931. The reversal of 2114523331920 is 291333254112.

2114523331920 is a `hidden beast` number, since 2 + 1 + 14 + 523 + 3 + 31 + 92 + 0 = 666.

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 319 ways as a sum of consecutive naturals, for example, 10956079344 + ... + 10956079536.

Almost surely, 22114523331920 is an apocalyptic number.

2114523331920 is a gapful number since it is divisible by the number (20) 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 2114523331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187325922560).

2114523331920 is an abundant number, since it is smaller than the sum of its proper divisors (6260128513200).

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

2114523331920 is a wasteful number, since it uses less digits than its factorization.

2114523331920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2114523331920 in words is "two trillion, one hundred fourteen billion, five hundred twenty-three million, three hundred thirty-one thousand, nine hundred twenty".