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1024122043040 = 255171919816603
BaseRepresentation
bin11101110011100100110…
…11100011101010100000
310121220102211022011202112
432321302123203222200
5113234400220334130
62102250345334452
7133663461510065
oct16716233435240
93556384264675
101024122043040
11365367215958
12146594497428
13757609559a5
14377d3d70c6c
151b98e313495
hexee726e3aa0

1024122043040 has 96 divisors (see below), whose sum is σ = 2696643472320. Its totient is φ = 365259608064.

The previous prime is 1024122043037. The next prime is 1024122043067. The reversal of 1024122043040 is 403402214201.

It is a super-2 number, since 2×10241220430402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1024122042997 and 1024122043015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9856622 + ... + 9959981.

It is an arithmetic number, because the mean of its divisors is an integer number (28090036170).

Almost surely, 21024122043040 is an apocalyptic number.

1024122043040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024122043040 is an abundant number, since it is smaller than the sum of its proper divisors (1672521429280).

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

1024122043040 is a wasteful number, since it uses less digits than its factorization.

1024122043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19816654 (or 19816646 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 1024122043040 its reverse (403402214201), we get a palindrome (1427524257241).

The spelling of 1024122043040 in words is "one trillion, twenty-four billion, one hundred twenty-two million, forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2584 2720 3040 3230 5168 6460 10336 12920 25840 51680 19816603 39633206 79266412 99083015 158532824 198166030 317065648 336882251 376515457 396332060 634131296 673764502 753030914 792664120 1347529004 1506061828 1585328240 1684411255 1882577285 2695058008 3012123656 3170656480 3368822510 3765154570 5390116016 6024247312 6400762769 6737645020 7530309140 10780232032 12048494624 12801525538 13475290040 15060618280 25603051076 26950580080 30121236560 32003813845 51206102152 53901160160 60242473120 64007627690 102412204304 128015255380 204824408608 256030510760 512061021520 1024122043040