Search a number
-
+
2123342024000 = 26531731677517
BaseRepresentation
bin11110111001100001000…
…011000000110101000000
321111222201100121212112012
4132321201003000311000
5234242101024232000
64303241100352052
7306256252260461
oct36714103006500
97458640555465
102123342024000
1174956024300a
122a3626b45628
131252cbc55922
1474aad9d0d68
153a376587735
hex1ee610c0d40

2123342024000 has 448 divisors, whose sum is σ = 5833941055488. Its totient is φ = 761942016000.

The previous prime is 2123342023997. The next prime is 2123342024029. The reversal of 2123342024000 is 4202433212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282468242 + ... + 282475758.

It is an arithmetic number, because the mean of its divisors is an integer number (13022189856).

Almost surely, 22123342024000 is an apocalyptic number.

2123342024000 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 2123342024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916970527744).

2123342024000 is an abundant number, since it is smaller than the sum of its proper divisors (3710599031488).

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

2123342024000 is a wasteful number, since it uses less digits than its factorization.

2123342024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7659 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2123342024000 its reverse (4202433212), we get a palindrome (2127544457212).

The spelling of 2123342024000 in words is "two trillion, one hundred twenty-three billion, three hundred forty-two million, twenty-four thousand".