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40084848400 = 2452100212121
BaseRepresentation
bin100101010101001111…
…100011111100010000
310211110120201021121211
4211111033203330100
51124043210122100
630225325225504
72616224406142
oct452517437420
9124416637554
1040084848400
1115aaa940993
127928402294
133a1a81c70c
141d23976c92
1510991971ba
hex9553e3f10

40084848400 has 30 divisors (see below), whose sum is σ = 96303849242. Its totient is φ = 16033939200.

The previous prime is 40084848383. The next prime is 40084848421. The reversal of 40084848400 is 484848004.

40084848400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 773062416 + 39311785984 = 27804^2 + 198272^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50105661 + ... + 50106460.

Almost surely, 240084848400 is an apocalyptic number.

40084848400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40084848400 is an abundant number, since it is smaller than the sum of its proper divisors (56219000842).

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

40084848400 is a wasteful number, since it uses less digits than its factorization.

40084848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100212139 (or 100212128 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 40084848400 in words is "forty billion, eighty-four million, eight hundred forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 100212121 200424242 400848484 501060605 801696968 1002121210 1603393936 2004242420 2505303025 4008484840 5010606050 8016969680 10021212100 20042424200 40084848400