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1040033626324 = 2271122920837079
BaseRepresentation
bin11110010001001101101…
…01011011100011010100
310200102111201202100121221
433020212311123203110
5114014442102020244
62113441310020124
7135066000650530
oct17104665334324
93612451670557
101040033626324
11371091960990
121496951a7644
13770c82c2824
14384a3288bc0
151c0c1191784
hexf226d5b8d4

1040033626324 has 96 divisors (see below), whose sum is σ = 2280489523200. Its totient is φ = 403187794560.

The previous prime is 1040033626267. The next prime is 1040033626339. The reversal of 1040033626324 is 4236263300401.

It is a self number, because there is not a number n which added to its sum of digits gives 1040033626324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146914617 + ... + 146921695.

It is an arithmetic number, because the mean of its divisors is an integer number (23755099200).

Almost surely, 21040033626324 is an apocalyptic number.

1040033626324 is a gapful number since it is divisible by the number (14) 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 1040033626324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140244761600).

1040033626324 is an abundant number, since it is smaller than the sum of its proper divisors (1240455896876).

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

1040033626324 is a wasteful number, since it uses less digits than its factorization.

1040033626324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 1040033626324 its reverse (4236263300401), we get a palindrome (5276296926725).

The spelling of 1040033626324 in words is "one trillion, forty billion, thirty-three million, six hundred twenty-six thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 229 308 458 916 1603 2083 2519 3206 4166 5038 6412 7079 8332 10076 14158 14581 17633 22913 28316 29162 35266 45826 49553 58324 70532 77869 91652 99106 155738 160391 198212 311476 320782 477007 545083 641564 954014 1090166 1621091 1908028 2180332 3242182 3339049 5247077 6484364 6678098 10494154 11347637 13356196 14745557 17832001 20988308 22695274 29491114 35664002 36729539 45390548 58982228 71328004 73459078 103218899 124824007 146918156 162201127 206437798 249648014 324402254 412875596 499296028 648804508 1135407889 2270815778 3376732553 4541631556 6753465106 13506930212 23637127871 37144058083 47274255742 74288116166 94548511484 148576232332 260008406581 520016813162 1040033626324