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1004011244424 = 233259412757269
BaseRepresentation
bin11101001110000111011…
…10111100101110001000
310112222112021021202101100
432213003232330232020
5112422203334310144
62045123021221400
7132352222524126
oct16470356745610
93488467252340
101004011244424
1135788719a231
12142701401860
13738a7326356
1436847086916
151b1b39ad269
hexe9c3bbcb88

1004011244424 has 96 divisors (see below), whose sum is σ = 2766003552000. Its totient is φ = 328912573056.

The previous prime is 1004011244419. The next prime is 1004011244449. The reversal of 1004011244424 is 4244421104001.

It is a happy number.

1004011244424 is a `hidden beast` number, since 10 + 0 + 401 + 1 + 244 + 4 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17502862 + ... + 17560130.

It is an arithmetic number, because the mean of its divisors is an integer number (28812537000).

Almost surely, 21004011244424 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 1004011244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383001776000).

1004011244424 is an abundant number, since it is smaller than the sum of its proper divisors (1761992307576).

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

1004011244424 is a wasteful number, since it uses less digits than its factorization.

1004011244424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61467 (or 61460 counting only the distinct ones).

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

Adding to 1004011244424 its reverse (4244421104001), we get a palindrome (5248432348425).

The spelling of 1004011244424 in words is "one trillion, four billion, eleven million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4127 4248 8254 12381 16508 24762 33016 37143 49524 57269 74286 99048 114538 148572 171807 229076 243493 297144 343614 458152 486986 515421 687228 730479 973972 1030842 1374456 1460958 1947944 2061684 2191437 2921916 3378871 4123368 4382874 5843832 6757742 8765748 10136613 13515484 17531496 20273226 27030968 30409839 40546452 60819678 81092904 121639356 236349163 243278712 472698326 709047489 945396652 1418094978 1890793304 2127142467 2836189956 4254284934 5672379912 8508569868 13944600617 17017139736 27889201234 41833801851 55778402468 83667603702 111556804936 125501405553 167335207404 251002811106 334670414808 502005622212 1004011244424