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414032112442 = 213653163714897
BaseRepresentation
bin1100000011001100011…
…11001010101100111010
31110120200121110112120001
412001212033022230322
523240414210044232
6514112001023214
741625046613554
oct6014617125472
91416617415501
10414032112442
1114a654374143
12682aa624b0a
13300737b1860
1416079a384d4
15ab837716e7
hex60663cab3a

414032112442 has 32 divisors (see below), whose sum is σ = 670299516432. Its totient is φ = 190669753344.

The previous prime is 414032112427. The next prime is 414032112457. The reversal of 414032112442 is 244211230414.

It is an interprime number because it is at equal distance from previous prime (414032112427) and next prime (414032112457).

It can be written as a sum of positive squares in 8 ways, for example, as 64312452801 + 349719659641 = 253599^2 + 591371^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414032112442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27785538 + ... + 27800434.

Almost surely, 2414032112442 is an apocalyptic number.

414032112442 is a deficient number, since it is larger than the sum of its proper divisors (256267403990).

414032112442 is a wasteful number, since it uses less digits than its factorization.

414032112442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17202.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 414032112442 its reverse (244211230414), we get a palindrome (658243342856).

The spelling of 414032112442 in words is "four hundred fourteen billion, thirty-two million, one hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 13 26 653 1306 1637 3274 8489 14897 16978 21281 29794 42562 193661 387322 1068961 2137922 9727741 13896493 19455482 24386389 27792986 48772778 126460633 252921266 317023057 634046114 15924312017 31848624034 207016056221 414032112442