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412145342400 = 26352117805783
BaseRepresentation
bin1011111111101011100…
…01101101011111000000
31110101211010011200122010
411333311301231133000
523223033201424100
6513200441012520
741530226415351
oct5776561553700
91411733150563
10412145342400
11149876334960
1267a62784140
132cb32930a8c
1415d3b215d28
15aac2cc8750
hex5ff5c6d7c0

412145342400 has 168 divisors, whose sum is σ = 1475105837184. Its totient is φ = 99914009600.

The previous prime is 412145342393. The next prime is 412145342423. The reversal of 412145342400 is 4243541214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3850092 + ... + 3955691.

It is an arithmetic number, because the mean of its divisors is an integer number (8780391888).

Almost surely, 2412145342400 is an apocalyptic number.

412145342400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412145342400 is an abundant number, since it is smaller than the sum of its proper divisors (1062960494784).

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

412145342400 is a wasteful number, since it uses less digits than its factorization.

412145342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805819 (or 7805804 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 412145342400 its reverse (4243541214), we get a palindrome (416388883614).

The spelling of 412145342400 in words is "four hundred twelve billion, one hundred forty-five million, three hundred forty-two thousand, four hundred".