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10241314040000 = 2654298828719
BaseRepresentation
bin1001010100000111110111…
…1000101010100011000000
31100021001121210011121211102
42111001331320222203000
52320243202343240000
633440443354233532
72104624211006441
oct225017570524300
940231553147742
1010241314040000
11329935386aa2a
121194a034258a8
135939a083c5c4
1427597a1152c8
1512b6004143d5
hex9507de2a8c0

10241314040000 has 140 divisors (see below), whose sum is σ = 26270827519200. Its totient is φ = 3955265664000.

The previous prime is 10241314039991. The next prime is 10241314040051. The reversal of 10241314040000 is 4041314201.

It is a super-2 number, since 2×102413140400002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3254360 + ... + 5574359.

Almost surely, 210241314040000 is an apocalyptic number.

10241314040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241314040000 is an abundant number, since it is smaller than the sum of its proper divisors (16029513479200).

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

10241314040000 is an frugal number, since it uses more digits than its factorization.

10241314040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828780 (or 8828755 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10241314040000 its reverse (4041314201), we get a palindrome (10245355354201).

The spelling of 10241314040000 in words is "ten trillion, two hundred forty-one billion, three hundred fourteen million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 18125 20000 23200 29000 36250 40000 46400 58000 72500 116000 145000 232000 290000 580000 1160000 8828719 17657438 35314876 44143595 70629752 88287190 141259504 176574380 220717975 256032851 282519008 353148760 441435950 512065702 565038016 706297520 882871900 1024131404 1103589875 1280164255 1412595040 1765743800 2048262808 2207179750 2560328510 2825190080 3531487600 4096525616 4414359500 5120657020 5517949375 6400821275 7062975200 8193051232 8828719000 10241314040 11035898750 12801642550 14125950400 16386102464 17657438000 20482628080 22071797500 25603285100 32004106375 35314876000 40965256160 44143595000 51206570200 64008212750 70629752000 81930512320 88287190000 102413140400 128016425500 160020531875 176574380000 204826280800 256032851000 320041063750 353148760000 409652561600 512065702000 640082127500 1024131404000 1280164255000 2048262808000 2560328510000 5120657020000 10241314040000