Search a number
-
+
2397987144000 = 26325373124951
BaseRepresentation
bin100010111001010011001…
…011000000000101000000
322111020121211212112121200
4202321103023000011000
5303242034202102000
65033341534421200
7335151233261160
oct42712313000500
98436554775550
102397987144000
11844a87255728
123288b5061800
1314518ab76856
14840c55ac5a0
154259cd24500
hex22e532c0140

2397987144000 has 1008 divisors, whose sum is σ = 10131915126528. Its totient is φ = 530323200000.

The previous prime is 2397987143999. The next prime is 2397987144043. The reversal of 2397987144000 is 4417897932.

2397987144000 is a `hidden beast` number, since 23 + 97 + 98 + 7 + 1 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 484341525 + ... + 484346475.

Almost surely, 22397987144000 is an apocalyptic number.

2397987144000 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 2397987144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065957563264).

2397987144000 is an abundant number, since it is smaller than the sum of its proper divisors (7733927982528).

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

2397987144000 is a wasteful number, since it uses less digits than its factorization.

2397987144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2397987144000 in words is "two trillion, three hundred ninety-seven billion, nine hundred eighty-seven million, one hundred forty-four thousand".