Search a number
-
+
1114489430208 = 26357112196173
BaseRepresentation
bin10000001101111100101…
…111110010000011000000
310221112200200111002100000
4100031330233302003000
5121224433243231313
62211553412200000
7143343041565210
oct20157457620300
93845620432300
101114489430208
1139a71a257400
1215bbb4309000
138113290b20b
143bd27984240
151decca60673
hex1037cbf20c0

1114489430208 has 2016 divisors, whose sum is σ = 4513361681920. Its totient is φ = 266051174400.

The previous prime is 1114489430177. The next prime is 1114489430279. The reversal of 1114489430208 is 8020349844111.

1114489430208 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 8 + 9 + 430 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15266978460 + ... + 15266978532.

Almost surely, 21114489430208 is an apocalyptic number.

1114489430208 is a gapful number since it is divisible by the number (18) 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 1114489430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256680840960).

1114489430208 is an abundant number, since it is smaller than the sum of its proper divisors (3398872251712).

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

1114489430208 is a wasteful number, since it uses less digits than its factorization.

1114489430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1114489430208 in words is "one trillion, one hundred fourteen billion, four hundred eighty-nine million, four hundred thirty thousand, two hundred eight".