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40012132400 = 2452100030331
BaseRepresentation
bin100101010000111010…
…001011000000110000
310211021111212221000122
4211100322023000300
51123421101214100
630214210505412
72614352341142
oct452072130060
9124244787018
1040012132400
1115a72895319
127907b95268
133a0873c8b6
141d18048c92
151092ad1985
hex950e8b030

40012132400 has 30 divisors (see below), whose sum is σ = 96129149052. Its totient is φ = 16004852800.

The previous prime is 40012132397. The next prime is 40012132409. The reversal of 40012132400 is 423121004.

It is not an unprimeable number, because it can be changed into a prime (40012132409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50014766 + ... + 50015565.

Almost surely, 240012132400 is an apocalyptic number.

40012132400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40012132400 is an abundant number, since it is smaller than the sum of its proper divisors (56117016652).

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

40012132400 is a wasteful number, since it uses less digits than its factorization.

40012132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100030349 (or 100030338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 40012132400 its reverse (423121004), we get a palindrome (40435253404).

The spelling of 40012132400 in words is "forty billion, twelve million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 100030331 200060662 400121324 500151655 800242648 1000303310 1600485296 2000606620 2500758275 4001213240 5001516550 8002426480 10003033100 20006066200 40012132400