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132331324321440 = 25325175405691353
BaseRepresentation
bin11110000101101011001001…
…100101000010111010100000
3122100112202021112000120100100
4132011223021211002322200
5114321104023011241230
61145240100545022400
736605423402366406
oct3605531145027240
9570482245016310
10132331324321440
113918a443788672
1212a12844924a00
1358aba374b25aa
142496c2804b476
151047394c55660
hex785ac9942ea0

132331324321440 has 144 divisors (see below), whose sum is σ = 478144211644008. Its totient is φ = 33212567666688.

The previous prime is 132331324321439. The next prime is 132331324321487. The reversal of 132331324321440 is 44123423133231.

132331324321440 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 1 + 324 + 321 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128373341398416 + 3957982923024 = 11330196^2 + 1989468^2 .

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

It is a super-2 number, since 2×1323313243214402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132331324321395 and 132331324321404.

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, 2702821197 + ... + 2702870156.

Almost surely, 2132331324321440 is an apocalyptic number.

132331324321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132331324321440 is an abundant number, since it is smaller than the sum of its proper divisors (345812887322568).

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

132331324321440 is a wasteful number, since it uses less digits than its factorization.

132331324321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405691391 (or 5405691380 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 132331324321440 its reverse (44123423133231), we get a palindrome (176454747454671).

The spelling of 132331324321440 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, three hundred twenty-four million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 5405691353 10811382706 16217074059 21622765412 27028456765 32434148118 43245530824 48651222177 54056913530 64868296236 81085370295 86491061648 91896753001 97302444354 108113827060 129736592472 162170740590 172982123296 183793506002 194604888708 216227654120 243256110885 259473184944 275690259003 324341481180 367587012004 389209777416 432455308240 459483765005 486512221770 518946369888 551380518006 648682962360 735174024008 778419554832 827070777009 864910616480 918967530010 973024443540 1102761036012 1297365924720 1378451295015 1470348048016 1556839109664 1654141554018 1837935060020 1946048887080 2205522072024 2594731849440 2756902590030 2940696096032 3308283108036 3675870120040 3892097774160 4135353885045 4411044144048 5513805180060 6616566216072 7351740240080 7784195548320 8270707770090 8822088288096 11027610360120 13233132432144 14703480480160 16541415540180 22055220720240 26466264864288 33082831080360 44110441440480 66165662160720 132331324321440