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11450439000 = 233253711133141
BaseRepresentation
bin10101010100111111…
…11101010101011000
31002120000000120101100
422222133331111120
5141422303022000
65132114351400
7553516061040
oct125237752530
932500016340
1011450439000
114946524330
12227688b560
1311063490c0
147a8a44720
154703b7a00
hex2aa7fd558

11450439000 has 1536 divisors, whose sum is σ = 54948741120. Its totient is φ = 2073600000.

The previous prime is 11450438981. The next prime is 11450439073. The reversal of 11450439000 is 93405411.

It is a super-2 number, since 2×114504390002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 279278980 + ... + 279279020.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 211450439000 is an apocalyptic number.

11450439000 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 11450439000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474370560).

11450439000 is an abundant number, since it is smaller than the sum of its proper divisors (43498302120).

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

11450439000 is a wasteful number, since it uses less digits than its factorization.

11450439000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11450439000 in words is "eleven billion, four hundred fifty million, four hundred thirty-nine thousand".