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130440000001320 = 23335628719210717
BaseRepresentation
bin11101101010001001101101…
…110111010101010100101000
3122002211221102212122021002000
4131222021231313111110220
5114044112110000020240
61141231150405011000
736321656541050232
oct3552115567252450
9562757385567060
10130440000001320
1138620325489659
12127681900b3a60
1357a2592c76559
14242d48892d252
15101309c979430
hex76a26ddd5528

130440000001320 has 128 divisors (see below), whose sum is σ = 434869181222400. Its totient is φ = 34778465503488.

The previous prime is 130440000001307. The next prime is 130440000001349. The reversal of 130440000001320 is 23100000044031.

130440000001320 is a `hidden beast` number, since 1 + 304 + 40 + 0 + 0 + 0 + 0 + 0 + 1 + 320 = 666.

It is a super-3 number, since 3×1304400000013203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130440000001293 and 130440000001302.

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, 2815399 + ... + 16395318.

It is an arithmetic number, because the mean of its divisors is an integer number (3397415478300).

Almost surely, 2130440000001320 is an apocalyptic number.

130440000001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440000001320 is an abundant number, since it is smaller than the sum of its proper divisors (304429181221080).

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

130440000001320 is a wasteful number, since it uses less digits than its factorization.

130440000001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19217024 (or 19217014 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130440000001320 its reverse (23100000044031), we get a palindrome (153540000045351).

The spelling of 130440000001320 in words is "one hundred thirty trillion, four hundred forty billion, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 6287 12574 18861 25148 31435 37722 50296 56583 62870 75444 94305 113166 125740 150888 169749 188610 226332 251480 282915 339498 377220 452664 565830 678996 754440 848745 1131660 1357992 1697490 2263320 3394980 6789960 19210717 38421434 57632151 76842868 96053585 115264302 153685736 172896453 192107170 230528604 288160755 345792906 384214340 461057208 518689359 576321510 691585812 768428680 864482265 1037378718 1152643020 1383171624 1728964530 2074757436 2305286040 2593446795 3457929060 4149514872 5186893590 6915858120 10373787180 20747574360 120777777779 241555555558 362333333337 483111111116 603888888895 724666666674 966222222232 1087000000011 1207777777790 1449333333348 1811666666685 2174000000022 2415555555580 2898666666696 3261000000033 3623333333370 4348000000044 4831111111160 5435000000055 6522000000066 7246666666740 8696000000088 10870000000110 13044000000132 14493333333480 16305000000165 21740000000220 26088000000264 32610000000330 43480000000440 65220000000660 130440000001320