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414012410244 = 22341901672181
BaseRepresentation
bin1100000011001010001…
…00000000100110000100
31110120122020101120020000
412001211010000212010
523240344134111434
6514110014441300
741624420265006
oct6014504004604
91416566346200
10414012410244
1114a644237634
12682a3b03230
133006c6a3b54
141607718a376
15ab81b7db99
hex6065100984

414012410244 has 60 divisors (see below), whose sum is σ = 1082881168908. Its totient is φ = 137931336000.

The previous prime is 414012410233. The next prime is 414012410263. The reversal of 414012410244 is 442014210414.

It is a happy number.

414012410244 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 2 + 410 + 244 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110948948100 + 303063462144 = 333090^2 + 550512^2 .

It is a super-2 number, since 2×4140124102442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279834 + ... + 952014.

Almost surely, 2414012410244 is an apocalyptic number.

It is an amenable number.

414012410244 is an abundant number, since it is smaller than the sum of its proper divisors (668868758664).

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

414012410244 is a wasteful number, since it uses less digits than its factorization.

414012410244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674098 (or 674087 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 414012410244 its reverse (442014210414), we get a palindrome (856026620658).

The spelling of 414012410244 in words is "four hundred fourteen billion, twelve million, four hundred ten thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1901 3802 5703 7604 11406 17109 22812 34218 51327 68436 102654 153981 205308 307962 615924 672181 1344362 2016543 2688724 4033086 6049629 8066172 12099258 18148887 24198516 36297774 54446661 72595548 108893322 217786644 1277816081 2555632162 3833448243 5111264324 7666896486 11500344729 15333792972 23000689458 34501034187 46001378916 69002068374 103503102561 138004136748 207006205122 414012410244