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10424003433024 = 2631071434135381
BaseRepresentation
bin1001011110110000011100…
…0001011001001001000000
31100220112011201111100202010
42113230013001121021000
52331241324334324044
634100415430052520
72124052344144516
oct227540701311100
940815151440663
1010424003433024
113359882203975
1212042a97aa140
135a7c966c566c
1428074b1824b6
15131243ca9bb9
hex97b07059240

10424003433024 has 112 divisors (see below), whose sum is σ = 27840662404416. Its totient is φ = 3441856972800.

The previous prime is 10424003433023. The next prime is 10424003433037. The reversal of 10424003433024 is 42033430042401.

It is a happy number.

It is a super-2 number, since 2×104240034330242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10424003432982 and 10424003433000.

It is not an unprimeable number, because it can be changed into a prime (10424003433023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 294603814 + ... + 294639194.

Almost surely, 210424003433024 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 10424003433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920331202208).

10424003433024 is an abundant number, since it is smaller than the sum of its proper divisors (17416658971392).

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

10424003433024 is a wasteful number, since it uses less digits than its factorization.

10424003433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49844 (or 49834 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10424003433024 its reverse (42033430042401), we get a palindrome (52457433475425).

The spelling of 10424003433024 in words is "ten trillion, four hundred twenty-four billion, three million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5136 6848 10272 14341 20544 28682 35381 43023 57364 70762 86046 106143 114728 141524 172092 212286 229456 283048 344184 424572 458912 566096 688368 849144 917824 1132192 1376736 1534487 1698288 2264384 2753472 3068974 3396576 3785767 4603461 6137948 6793152 7571534 9206922 11357301 12275896 15143068 18413844 22714602 24551792 30286136 36827688 45429204 49103584 60572272 73655376 90858408 98207168 121144544 147310752 181716816 242289088 294621504 363433632 507398921 726867264 1014797842 1522196763 2029595684 3044393526 4059191368 6088787052 8118382736 12177574104 16236765472 24355148208 32473530944 48710296416 54291684547 97420592832 108583369094 162875053641 217166738188 325750107282 434333476376 651500214564 868666952752 1303000429128 1737333905504 2606000858256 3474667811008 5212001716512 10424003433024