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401422424112 = 243241281241963
BaseRepresentation
bin1011101011101101010…
…01000001100000110000
31102101010211010000001100
411311312221001200300
523034103120032422
6504224431404400
741000423210043
oct5656651014060
91371124100040
10401422424112
11145273547716
126596b683700
132bb1423b708
1415601070c5a
15a69671c7ac
hex5d76a41830

401422424112 has 120 divisors (see below), whose sum is σ = 1154926111248. Its totient is φ = 130078771200.

The previous prime is 401422424101. The next prime is 401422424149. The reversal of 401422424112 is 211424224104.

401422424112 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 2 + 242 + 411 + 2 = 666.

It is a super-2 number, since 2×4014224241122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1538043 + ... + 1780005.

Almost surely, 2401422424112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401422424112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577463055624).

401422424112 is an abundant number, since it is smaller than the sum of its proper divisors (753503687136).

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

401422424112 is a wasteful number, since it uses less digits than its factorization.

401422424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242299 (or 242290 counting only the distinct ones).

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

Adding to 401422424112 its reverse (211424224104), we get a palindrome (612846648216).

The spelling of 401422424112 in words is "four hundred one billion, four hundred twenty-two million, four hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 281 328 369 492 562 656 738 843 984 1124 1476 1686 1968 2248 2529 2952 3372 4496 5058 5904 6744 10116 11521 13488 20232 23042 34563 40464 46084 69126 92168 103689 138252 184336 207378 241963 276504 414756 483926 553008 725889 829512 967852 1451778 1659024 1935704 2177667 2903556 3871408 4355334 5807112 8710668 9920483 11614224 17421336 19840966 29761449 34842672 39681932 59522898 67991603 79363864 89284347 119045796 135983206 158727728 178568694 203974809 238091592 271966412 357137388 407949618 476183184 543932824 611924427 714274776 815899236 1087865648 1223848854 1428549552 1631798472 2447697708 2787655723 3263596944 4895395416 5575311446 8362967169 9790790832 11150622892 16725934338 22301245784 25088901507 33451868676 44602491568 50177803014 66903737352 100355606028 133807474704 200711212056 401422424112