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3040213201424 = 247217233979001
BaseRepresentation
bin101100001111011010110…
…100111111001000010000
3101202122022200111120022122
4230033122310333020100
5344302324034421144
610244353223553412
7432435213554300
oct54173264771020
911678280446278
103040213201424
11a72390104143
124112692bb868
131908c9b0c549
14a720b921600
1554139ce17ee
hex2c3dad3f210

3040213201424 has 120 divisors (see below), whose sum is σ = 7286324201208. Its totient is φ = 1221040128000.

The previous prime is 3040213201423. The next prime is 3040213201427. The reversal of 3040213201424 is 4241023120403.

3040213201424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 666456711424 + 2373756490000 = 816368^2 + 1540700^2 .

It is a super-2 number, since 2×30402132014242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3040213201393 and 3040213201402.

It is not an unprimeable number, because it can be changed into a prime (3040213201423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2615924 + ... + 3594924.

Almost surely, 23040213201424 is an apocalyptic number.

3040213201424 is a gapful number since it is divisible by the number (34) 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 3040213201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643162100604).

3040213201424 is an abundant number, since it is smaller than the sum of its proper divisors (4246110999784).

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

3040213201424 is a wasteful number, since it uses less digits than its factorization.

3040213201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979273 (or 979260 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 3040213201424 its reverse (4241023120403), we get a palindrome (7281236321827).

The spelling of 3040213201424 in words is "three trillion, forty billion, two hundred thirteen million, two hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 233 238 272 392 466 476 784 833 932 952 1631 1666 1864 1904 3262 3332 3728 3961 6524 6664 7922 11417 13048 13328 15844 22834 26096 27727 31688 45668 55454 63376 91336 110908 182672 194089 221816 388178 443632 776356 979001 1552712 1958002 3105424 3916004 6853007 7832008 13706014 15664016 16643017 27412028 33286034 47971049 54824056 66572068 95942098 109648112 116501119 133144136 191884196 228107233 233002238 266288272 383768392 456214466 466004476 767536784 815507833 912428932 932008952 1596750631 1631015666 1824857864 1864017904 3193501262 3262031332 3649715728 3877822961 6387002524 6524062664 7755645922 11177254417 12774005048 13048125328 15511291844 22354508834 25548010096 27144760727 31022583688 44709017668 54289521454 62045167376 89418035336 108579042908 178836070672 190013325089 217158085816 380026650178 434316171632 760053300356 1520106600712 3040213201424