Search a number
-
+
2124013554000 = 24325313163233239
BaseRepresentation
bin11110111010001001000…
…100101100100101010000
321112001110011020010111200
4132322021010230211100
5234244434432212000
64303431445511200
7306312015215052
oct36721104544520
97461404203450
102124013554000
11749875307488
122a3793a12500
131253a8107560
1474b34c778d2
153a3b54d4500
hex1ee8912c950

2124013554000 has 960 divisors, whose sum is σ = 8106411156480. Its totient is φ = 515231539200.

The previous prime is 2124013553983. The next prime is 2124013554023. The reversal of 2124013554000 is 4553104212.

2124013554000 is a `hidden beast` number, since 2 + 1 + 240 + 13 + 5 + 5 + 400 + 0 = 666.

It is a super-2 number, since 2×21240135540002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8887085881 + ... + 8887086119.

It is an arithmetic number, because the mean of its divisors is an integer number (8444178288).

Almost surely, 22124013554000 is an apocalyptic number.

2124013554000 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 2124013554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053205578240).

2124013554000 is an abundant number, since it is smaller than the sum of its proper divisors (5982397602480).

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

2124013554000 is a wasteful number, since it uses less digits than its factorization.

2124013554000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2124013554000 its reverse (4553104212), we get a palindrome (2128566658212).

The spelling of 2124013554000 in words is "two trillion, one hundred twenty-four billion, thirteen million, five hundred fifty-four thousand".