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1204141424040 = 233353493194687
BaseRepresentation
bin10001100001011100011…
…010111111110110101000
311021010002200112020202000
4101201130122333312220
5124212040201032130
62321101441411000
7152665514140422
oct21413432776650
94233080466660
101204141424040
11424745495295
12175454639a60
138971c5c4989
14423d0573812
15214c8599260
hex1185c6bfda8

1204141424040 has 128 divisors (see below), whose sum is σ = 4025306880000. Its totient is φ = 320184209664.

The previous prime is 1204141424029. The next prime is 1204141424047. The reversal of 1204141424040 is 404241414021.

It is a happy number.

1204141424040 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 1 + 414 + 240 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1204141423995 and 1204141424013.

It is not an unprimeable number, because it can be changed into a prime (1204141424047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220424 + ... + 1974263.

It is an arithmetic number, because the mean of its divisors is an integer number (31447710000).

Almost surely, 21204141424040 is an apocalyptic number.

1204141424040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1204141424040 is an abundant number, since it is smaller than the sum of its proper divisors (2821165455960).

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

1204141424040 is a wasteful number, since it uses less digits than its factorization.

1204141424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195056 (or 3195046 counting only the distinct ones).

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

Adding to 1204141424040 its reverse (404241414021), we get a palindrome (1608382838061).

The spelling of 1204141424040 in words is "one trillion, two hundred four billion, one hundred forty-one million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 349 360 540 698 1047 1080 1396 1745 2094 2792 3141 3490 4188 5235 6282 6980 8376 9423 10470 12564 13960 15705 18846 20940 25128 31410 37692 41880 47115 62820 75384 94230 125640 188460 376920 3194687 6389374 9584061 12778748 15973435 19168122 25557496 28752183 31946870 38336244 47920305 57504366 63893740 76672488 86256549 95840610 115008732 127787480 143760915 172513098 191681220 230017464 287521830 345026196 383362440 431282745 575043660 690052392 862565490 1114945763 1150087320 1725130980 2229891526 3344837289 3450261960 4459783052 5574728815 6689674578 8919566104 10034511867 11149457630 13379349156 16724186445 20069023734 22298915260 26758698312 30103535601 33448372890 40138047468 44597830520 50172559335 60207071202 66896745780 80276094936 100345118670 120414142404 133793491560 150517678005 200690237340 240828284808 301035356010 401380474680 602070712020 1204141424040