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133230244320 = 25325731267411
BaseRepresentation
bin111110000010100100…
…1000011000111100000
3110201220001012122210100
41330011021003013200
54140323420304240
6141112150302400
712424366251165
oct1740511030740
9421801178710
10133230244320
1151558aaa538
12219a2657a00
13c7431a25c4
14663c4c806c
1536eb737e30
hex1f052431e0

133230244320 has 144 divisors (see below), whose sum is σ = 460876630032. Its totient is φ = 35041351680.

The previous prime is 133230244289. The next prime is 133230244351. The reversal of 133230244320 is 23442032331.

133230244320 is a `hidden beast` number, since 1 + 3 + 32 + 302 + 4 + 4 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (133230244289) and next prime (133230244351).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528586 + ... + 738825.

It is an arithmetic number, because the mean of its divisors is an integer number (3200532153).

Almost surely, 2133230244320 is an apocalyptic number.

133230244320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133230244320 is an abundant number, since it is smaller than the sum of its proper divisors (327646385712).

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

133230244320 is a wasteful number, since it uses less digits than its factorization.

133230244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267505 (or 1267494 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 133230244320 its reverse (23442032331), we get a palindrome (156672276651).

The spelling of 133230244320 in words is "one hundred thirty-three billion, two hundred thirty million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 35040 52560 105120 1267411 2534822 3802233 5069644 6337055 7604466 10139288 11406699 12674110 15208932 19011165 20278576 22813398 25348220 30417864 38022330 40557152 45626796 50696440 57033495 60835728 76044660 91253592 92521003 101392880 114066990 121671456 152089320 182507184 185042006 202785760 228133980 277563009 304178640 365014368 370084012 456267960 462605015 555126018 608357280 740168024 832689027 912535920 925210030 1110252036 1387815045 1480336048 1665378054 1825071840 1850420060 2220504072 2775630090 2960672096 3330756108 3700840120 4163445135 4441008144 5551260180 6661512216 7401680240 8326890270 8882016288 11102520360 13323024432 14803360480 16653780540 22205040720 26646048864 33307561080 44410081440 66615122160 133230244320