Search a number
-
+
2397997405440 = 283557413219
BaseRepresentation
bin100010111001010011110…
…010001001010100000000
322111020122120011212200000
4202321103302021110000
5303242044313433230
65033342542400000
7335151416430000
oct42712362112400
98436576155600
102397997405440
11844a9202425a
123288b8590000
1314519002a400
14840c6ac0000
154259db9eb60
hex22e53c89500

2397997405440 has 3240 divisors, whose sum is σ = 11441098599840. Its totient is φ = 479322095616.

The previous prime is 2397997405393. The next prime is 2397997405451. The reversal of 2397997405440 is 445047997932.

2397997405440 is a `hidden beast` number, since 2 + 39 + 7 + 99 + 74 + 0 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 126210389751 + ... + 126210389769.

Almost surely, 22397997405440 is an apocalyptic number.

2397997405440 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 2397997405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720549299920).

2397997405440 is an abundant number, since it is smaller than the sum of its proper divisors (9043101194400).

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

2397997405440 is an frugal number, since it uses more digits than its factorization.

2397997405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 2397997405440 in words is "two trillion, three hundred ninety-seven billion, nine hundred ninety-seven million, four hundred five thousand, four hundred forty".