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99240422400 = 210355274353
BaseRepresentation
bin101110001101100110…
…0001010110000000000
3100111011020100210200000
41130123030022300000
53111221022004100
6113331310400000
710112161446360
oct1343314126000
9314136323600
1099240422400
11390a66a4219
1217297500000
139487340742
144b362189a0
1528ac6e9900
hex171b30ac00

99240422400 has 1584 divisors, whose sum is σ = 439053398784. Its totient is φ = 21737963520.

The previous prime is 99240422377. The next prime is 99240422401. The reversal of 99240422400 is 422404299.

99240422400 is a `hidden beast` number, since 9 + 9 + 2 + 404 + 2 + 240 + 0 = 666.

It is a super-2 number, since 2×992404224002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99240422401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1872460774 + ... + 1872460826.

It is an arithmetic number, because the mean of its divisors is an integer number (277180176).

Almost surely, 299240422400 is an apocalyptic number.

99240422400 is a gapful number since it is divisible by the number (90) 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 99240422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219526699392).

99240422400 is an abundant number, since it is smaller than the sum of its proper divisors (339812976384).

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

99240422400 is a wasteful number, since it uses less digits than its factorization.

99240422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 99240422400 its reverse (422404299), we get a palindrome (99662826699).

The spelling of 99240422400 in words is "ninety-nine billion, two hundred forty million, four hundred twenty-two thousand, four hundred".