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11028234240 = 215355277
BaseRepresentation
bin10100100010101010…
…11000000000000000
31001110120120100100000
422101111120000000
5140041211443430
65022153200000
7540201305262
oct122125300000
931416510300
1011028234240
11474a172681
122179400000
131069a319ba
1476893db32
154482b9e60
hex291558000

11028234240 has 384 divisors, whose sum is σ = 39789706320. Its totient is φ = 2930245632.

The previous prime is 11028234233. The next prime is 11028234293. The reversal of 11028234240 is 4243282011.

11028234240 is a `hidden beast` number, since 1 + 1 + 0 + 282 + 342 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 23 ways as a sum of consecutive naturals, for example, 39812982 + ... + 39813258.

Almost surely, 211028234240 is an apocalyptic number.

11028234240 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 11028234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19894853160).

11028234240 is an abundant number, since it is smaller than the sum of its proper divisors (28761472080).

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

11028234240 is an frugal number, since it uses more digits than its factorization.

11028234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 11028234240 in words is "eleven billion, twenty-eight million, two hundred thirty-four thousand, two hundred forty".