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1005141051420 = 2235112096372649
BaseRepresentation
bin11101010000001110001…
…00110100100000011100
310120002110000012220012220
432220013010310200130
5112432012102121140
62045431101025340
7132422221653102
oct16500704644034
93502400186186
101005141051420
11358306a12a20
12142977855250
1373a274121bc
1436913143c72
151b22cc80bd0
hexea0713481c

1005141051420 has 96 divisors (see below), whose sum is σ = 3070437753600. Its totient is φ = 243655580160.

The previous prime is 1005141051403. The next prime is 1005141051503. The reversal of 1005141051420 is 241501415001.

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, 13799256 + ... + 13871904.

It is an arithmetic number, because the mean of its divisors is an integer number (31983726600).

Almost surely, 21005141051420 is an apocalyptic number.

1005141051420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005141051420 is an abundant number, since it is smaller than the sum of its proper divisors (2065296702180).

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

1005141051420 is a wasteful number, since it uses less digits than its factorization.

1005141051420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93635 (or 93633 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 1005141051420 its reverse (241501415001), we get a palindrome (1246642466421).

The spelling of 1005141051420 in words is "one trillion, five billion, one hundred forty-one million, fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 20963 41926 62889 72649 83852 104815 125778 145298 209630 217947 230593 251556 290596 314445 363245 419260 435894 461186 628890 691779 726490 799139 871788 922372 1089735 1152965 1257780 1383558 1452980 1598278 2179470 2305930 2397417 2767116 3196556 3458895 3995695 4358940 4611860 4794834 6917790 7991390 9589668 11987085 13835580 15982780 23974170 47948340 1522940987 3045881974 4568822961 6091763948 7614704935 9137645922 15229409870 16752350857 18275291844 22844114805 30458819740 33504701714 45688229610 50257052571 67009403428 83761754285 91376459220 100514105142 167523508570 201028210284 251285262855 335047017140 502570525710 1005141051420