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414241303400 = 23522071206517
BaseRepresentation
bin1100000011100101011…
…01001010101101101000
31110121020012002112121022
412001302231022231220
523241331233202100
6514144432432012
741633166661001
oct6016255125550
91417205075538
10414241303400
1114a751464431
12683486a8608
13300a7c363a2
14160997301a8
15ab96ce3e85
hex6072b4ab68

414241303400 has 24 divisors (see below), whose sum is σ = 963111030870. Its totient is φ = 165696521280.

The previous prime is 414241303387. The next prime is 414241303447. The reversal of 414241303400 is 4303142414.

It can be written as a sum of positive squares in 3 ways, for example, as 352012009636 + 62229293764 = 593306^2 + 249458^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414241303400.

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, 1035603059 + ... + 1035603458.

Almost surely, 2414241303400 is an apocalyptic number.

414241303400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414241303400 is an abundant number, since it is smaller than the sum of its proper divisors (548869727470).

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

414241303400 is a wasteful number, since it uses less digits than its factorization.

414241303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071206533 (or 2071206524 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 414241303400 its reverse (4303142414), we get a palindrome (418544445814).

The spelling of 414241303400 in words is "four hundred fourteen billion, two hundred forty-one million, three hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2071206517 4142413034 8284826068 10356032585 16569652136 20712065170 41424130340 51780162925 82848260680 103560325850 207120651700 414241303400