Search a number
-
+
2841470720640 = 273451910612719
BaseRepresentation
bin101001010110010100110…
…110100101101010000000
3101001122022222110110220000
4221112110312211222000
5333023313001030030
610013204214520000
7412201202421126
oct51262466455200
911048288413800
102841470720640
119a6074165822
1239a842966000
13177c461a35a6
149b756863916
154dda6e6a860
hex29594da5a80

2841470720640 has 640 divisors, whose sum is σ = 10695478464000. Its totient is φ = 716904898560.

The previous prime is 2841470720593. The next prime is 2841470720707. The reversal of 2841470720640 is 460270741482.

2841470720640 is a `hidden beast` number, since 28 + 414 + 7 + 0 + 7 + 206 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1045041201 + ... + 1045043919.

It is an arithmetic number, because the mean of its divisors is an integer number (16711685100).

Almost surely, 22841470720640 is an apocalyptic number.

2841470720640 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 2841470720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347739232000).

2841470720640 is an abundant number, since it is smaller than the sum of its proper divisors (7854007743360).

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

2841470720640 is a wasteful number, since it uses less digits than its factorization.

2841470720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 2841470720640 in words is "two trillion, eight hundred forty-one billion, four hundred seventy million, seven hundred twenty thousand, six hundred forty".