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130440000000420 = 2232511409161072831
BaseRepresentation
bin11101101010001001101101…
…110111010101000110100100
3122002211221102212122012211200
4131222021231313111012210
5114044112110000003140
61141231150405002500
736321656541044505
oct3552115567250644
9562757385565750
10130440000000420
1138620325488a10
12127681900b3430
1357a2592c76016
14242d48892cbac
15101309c979030
hex76a26ddd51a4

130440000000420 has 144 divisors (see below), whose sum is σ = 432693170058240. Its totient is φ = 31544503027200.

The previous prime is 130440000000403. The next prime is 130440000000421. The reversal of 130440000000420 is 24000000044031.

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 = 130440000000393 and 130440000000402.

It is not an unprimeable number, because it can be changed into a prime (130440000000421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79726596 + ... + 81346235.

It is an arithmetic number, because the mean of its divisors is an integer number (3004813680960).

Almost surely, 2130440000000420 is an apocalyptic number.

130440000000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440000000420 is an abundant number, since it is smaller than the sum of its proper divisors (302253170057820).

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

130440000000420 is a wasteful number, since it uses less digits than its factorization.

130440000000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161073266 (or 161073261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 130440000000420 its reverse (24000000044031), we get a palindrome (154440000044451).

The spelling of 130440000000420 in words is "one hundred thirty trillion, four hundred forty billion, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 409 495 660 818 990 1227 1636 1980 2045 2454 3681 4090 4499 4908 6135 7362 8180 8998 12270 13497 14724 17996 18405 22495 24540 26994 36810 40491 44990 53988 67485 73620 80982 89980 134970 161964 202455 269940 404910 809820 161072831 322145662 483218493 644291324 805364155 966436986 1449655479 1610728310 1771801141 1932873972 2416092465 2899310958 3221456620 3543602282 4832184930 5315403423 5798621916 7087204564 7248277395 8859005705 9664369860 10630806846 14496554790 15946210269 17718011410 21261613692 26577017115 28993109580 31892420538 35436022820 53154034230 63784841076 65878787879 79731051345 106308068460 131757575758 159462102690 197636363637 263515151516 318924205380 329393939395 395272727274 592909090911 658787878790 724666666669 790545454548 988181818185 1185818181822 1317575757580 1449333333338 1976363636370 2174000000007 2371636363644 2898666666676 2964545454555 3623333333345 3952727272740 4348000000014 5929090909110 6522000000021 7246666666690 8696000000028 10870000000035 11858181818220 13044000000042 14493333333380 21740000000070 26088000000084 32610000000105 43480000000140 65220000000210 130440000000420