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414423211400 = 235211188374187
BaseRepresentation
bin1100000011111011000…
…11000101110110001000
31110121200212101102110122
412001331203011312020
523242214320231100
6514214451402412
741640536114012
oct6017543056610
91417625342418
10414423211400
1114a83510a620
12683995b3408
1330106827863
14160b59631b2
15aba7c77985
hex607d8c5d88

414423211400 has 48 divisors (see below), whose sum is σ = 1051127969040. Its totient is φ = 150699348800.

The previous prime is 414423211387. The next prime is 414423211403. The reversal of 414423211400 is 4112324414.

It is a self number, because there is not a number n which added to its sum of digits gives 414423211400.

It is not an unprimeable number, because it can be changed into a prime (414423211403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94184894 + ... + 94189293.

It is an arithmetic number, because the mean of its divisors is an integer number (21898499355).

Almost surely, 2414423211400 is an apocalyptic number.

414423211400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414423211400 is an abundant number, since it is smaller than the sum of its proper divisors (636704757640).

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

414423211400 is a wasteful number, since it uses less digits than its factorization.

414423211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188374214 (or 188374205 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 414423211400 its reverse (4112324414), we get a palindrome (418535535814).

The spelling of 414423211400 in words is "four hundred fourteen billion, four hundred twenty-three million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 188374187 376748374 753496748 941870935 1506993496 1883741870 2072116057 3767483740 4144232114 4709354675 7534967480 8288464228 9418709350 10360580285 16576928456 18837418700 20721160570 37674837400 41442321140 51802901425 82884642280 103605802850 207211605700 414423211400