Search a number
-
+
1244120221440 = 2833535998849
BaseRepresentation
bin10010000110101011010…
…110000000011100000000
311101221021212200120202000
4102012223112000130000
5130340424234041230
62351312502024000
7155612313253155
oct22065326003400
94357255616660
101244120221440
1143a6a0481518
12181151418000
1390421162605
1444303dc222c
1522568293b60
hex121ab580700

1244120221440 has 144 divisors (see below), whose sum is σ = 4414898964000. Its totient is φ = 331765383168.

The previous prime is 1244120221427. The next prime is 1244120221447. The reversal of 1244120221440 is 441220214421.

1244120221440 is a `hidden beast` number, since 1 + 2 + 441 + 2 + 0 + 2 + 214 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244120221447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17964865 + ... + 18033984.

Almost surely, 21244120221440 is an apocalyptic number.

1244120221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244120221440 is an abundant number, since it is smaller than the sum of its proper divisors (3170778742560).

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

1244120221440 is an equidigital number, since it uses as much as digits as its factorization.

1244120221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35998879 (or 35998859 counting only the distinct ones).

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

Adding to 1244120221440 its reverse (441220214421), we get a palindrome (1685340435861).

The spelling of 1244120221440 in words is "one trillion, two hundred forty-four billion, one hundred twenty million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 35998849 71997698 107996547 143995396 179994245 215993094 287990792 323989641 359988490 431986188 539982735 575981584 647979282 719976980 863972376 971968923 1079965470 1151963168 1295958564 1439953960 1619948205 1727944752 1943937846 2159930940 2303926336 2591917128 2879907920 3239896410 3455889504 3887875692 4319861880 4607852672 4859844615 5183834256 5759815840 6479792820 6911779008 7775751384 8639723760 9215705344 9719689230 10367668512 11519631680 12959585640 13823558016 15551502768 17279447520 19439378460 20735337024 23039263360 25919171280 27647116032 31103005536 34558895040 38878756920 41470674048 46078526720 51838342560 62206011072 69117790080 77757513840 82941348096 103676685120 124412022144 138235580160 155515027680 207353370240 248824044288 311030055360 414706740480 622060110720 1244120221440