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9998149140 = 22345721731239
BaseRepresentation
bin10010100111110111…
…11010011000010100
3221210210021121020000
421103323322120110
5130434011233030
64332035011300
7502522602600
oct112373723024
927723247200
109998149140
114270770481
121b30439b30
13c344bcba5
146abc00500
153d7b44860
hex253efa614

9998149140 has 720 divisors, whose sum is σ = 40044533760. Its totient is φ = 2072770560.

The previous prime is 9998149121. The next prime is 9998149141. The reversal of 9998149140 is 419418999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9998149141) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41833141 + ... + 41833379.

It is an arithmetic number, because the mean of its divisors is an integer number (55617408).

Almost surely, 29998149140 is an apocalyptic number.

9998149140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9998149140 is the 63240-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9998149140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20022266880).

9998149140 is an abundant number, since it is smaller than the sum of its proper divisors (30046384620).

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

9998149140 is a wasteful number, since it uses less digits than its factorization.

9998149140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The square root of 9998149140 is about 99990.7452717500. The cubic root of 9998149140 is about 2154.3017632642.

The spelling of 9998149140 in words is "nine billion, nine hundred ninety-eight million, one hundred forty-nine thousand, one hundred forty".