Search a number
-
+
3001840695000 = 233354721014493
BaseRepresentation
bin101011101011101011101…
…001011111011011011000
3101121222021102212021022000
4223223223221133123120
5343140232204220000
610215005424001000
7426606260622600
oct53535351373330
911558242767260
103001840695000
11a580898a6114
1240593a460160
1318a0c2c9ac44
14a540b563c00
155314113a000
hex2baeba5f6d8

3001840695000 has 960 divisors, whose sum is σ = 12243635157600. Its totient is φ = 679190400000.

The previous prime is 3001840694969. The next prime is 3001840695011. The reversal of 3001840695000 is 5960481003.

It is a super-2 number, since 2×30018406950002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 668112754 + ... + 668117246.

Almost surely, 23001840695000 is an apocalyptic number.

3001840695000 is a gapful number since it is divisible by the number (30) 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 3001840695000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121817578800).

3001840695000 is an abundant number, since it is smaller than the sum of its proper divisors (9241794462600).

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

3001840695000 is a wasteful number, since it uses less digits than its factorization.

3001840695000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4643 (or 4611 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3001840695000 in words is "three trillion, one billion, eight hundred forty million, six hundred ninety-five thousand".