Search a number
-
+
2103414573312 = 28341343792297
BaseRepresentation
bin11110100110111101010…
…001110100100100000000
321110002021120121111020000
4132212331101310210000
5233430243112321222
64250143442120000
7304652400605553
oct36467521644400
97402246544200
102103414573312
117410647663a8
1229b7a5350000
131234745ccca0
1473b3d1d269a
1539aabd9c9ac
hex1e9bd474900

2103414573312 has 720 divisors, whose sum is σ = 7002078800640. Its totient is φ = 623879553024.

The previous prime is 2103414573307. The next prime is 2103414573349. The reversal of 2103414573312 is 2133754143012.

2103414573312 is a `hidden beast` number, since 2 + 10 + 3 + 41 + 4 + 573 + 31 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 915721348 + ... + 915723644.

Almost surely, 22103414573312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103414573312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501039400320).

2103414573312 is an abundant number, since it is smaller than the sum of its proper divisors (4898664227328).

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

2103414573312 is a wasteful number, since it uses less digits than its factorization.

2103414573312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2103414573312 in words is "two trillion, one hundred three billion, four hundred fourteen million, five hundred seventy-three thousand, three hundred twelve".