Search a number
-
+
1094107014000 = 243553711132173
BaseRepresentation
bin11111110101111011101…
…11000010001101110000
310212121002012101001200000
433322331313002031300
5120411212343422000
62154343102230000
7142021664113230
oct17727567021560
93777065331600
101094107014000
1139200a982430
12158066285300
137c234c3a700
143ad52993cc0
151d6d8456000
hexfebddc2370

1094107014000 has 2880 divisors, whose sum is σ = 5380953596928. Its totient is φ = 208645632000.

The previous prime is 1094107013983. The next prime is 1094107014047. The reversal of 1094107014000 is 4107014901.

1094107014000 is a `hidden beast` number, since 109 + 410 + 7 + 0 + 140 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6324317914 + ... + 6324318086.

Almost surely, 21094107014000 is an apocalyptic number.

1094107014000 is a gapful number since it is divisible by the number (10) 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 1094107014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690476798464).

1094107014000 is an abundant number, since it is smaller than the sum of its proper divisors (4286846582928).

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

1094107014000 is a wasteful number, since it uses less digits than its factorization.

1094107014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 1094107014000 in words is "one trillion, ninety-four billion, one hundred seven million, fourteen thousand".