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11409630000 = 243542771373
BaseRepresentation
bin10101010000001000…
…10010001100110000
31002110011020020221220
422220010102030300
5141331331130000
65124055545040
7552512153256
oct125004221460
932404206856
1011409630000
11492549098a
12226508b180
1310caa5b272
147a34605d6
1546ba061a0
hex2a8112330

11409630000 has 200 divisors, whose sum is σ = 36991696368. Its totient is φ = 3029376000.

The previous prime is 11409629989. The next prime is 11409630007. The reversal of 11409630000 is 3690411.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11409630007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8309314 + ... + 8310686.

Almost surely, 211409630000 is an apocalyptic number.

11409630000 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 11409630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495848184).

11409630000 is an abundant number, since it is smaller than the sum of its proper divisors (25582066368).

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

11409630000 is a wasteful number, since it uses less digits than its factorization.

11409630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 11409630000 in words is "eleven billion, four hundred nine million, six hundred thirty thousand".