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402432124424 = 231123261714011
BaseRepresentation
bin1011101101100101101…
…00101110011000001000
31102110202012001002111012
411312302310232120020
523043140110440144
6504512541023052
741034433421531
oct5666264563010
91373665032435
10402432124424
11145741496490
1265bb1854a88
132bc45493c15
14156991c5688
15a7051b7e9e
hex5db2d2e608

402432124424 has 96 divisors (see below), whose sum is σ = 861958268640. Its totient is φ = 174674438400.

The previous prime is 402432124417. The next prime is 402432124459. The reversal of 402432124424 is 424421234204.

It is a super-2 number, since 2×4024321244242 (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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28715579 + ... + 28729589.

It is an arithmetic number, because the mean of its divisors is an integer number (8978731965).

Almost surely, 2402432124424 is an apocalyptic number.

402432124424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402432124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430979134320).

402432124424 is an abundant number, since it is smaller than the sum of its proper divisors (459526144216).

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

402432124424 is a wasteful number, since it uses less digits than its factorization.

402432124424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14691 (or 14664 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 402432124424 its reverse (424421234204), we get a palindrome (826853358628).

The spelling of 402432124424 in words is "four hundred two billion, four hundred thirty-two million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 529 617 1012 1058 1234 2024 2116 2468 4232 4936 5819 6787 11638 13574 14011 14191 23276 27148 28022 28382 46552 54296 56044 56764 112088 113528 154121 156101 308242 312202 322253 326393 616484 624404 644506 652786 1232968 1248808 1289012 1305572 2578024 2611144 3544783 3590323 7089566 7180646 7411819 8644787 14179132 14361292 14823638 17289574 28358264 28722584 29647276 34579148 59294552 69158296 81530009 95092657 163060018 190185314 198830101 326120036 380370628 397660202 652240072 760741256 795320404 1590640808 2187131111 4374262222 4573092323 8748524444 9146184646 17497048888 18292369292 36584738584 50304015553 100608031106 201216062212 402432124424