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132212214304040 = 23513318201750267
BaseRepresentation
bin11110000011111100001110…
…000100011000110100101000
3122100010100211112111202110102
4132003330032010120310220
5114312131103330212130
61145105241444004532
736564005631061433
oct3603741604306450
9570110745452412
10132212214304040
1139143981233662
12129b3743090748
1358a07347c5160
142491168db481a
151044222e9d645
hex783f0e118d28

132212214304040 has 64 divisors (see below), whose sum is σ = 330694570805760. Its totient is φ = 47242081532160.

The previous prime is 132212214304013. The next prime is 132212214304073. The reversal of 132212214304040 is 40403412212231.

It is a super-2 number, since 2×1322122143040402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132212214303994 and 132212214304012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4100859014 + ... + 4100891253.

It is an arithmetic number, because the mean of its divisors is an integer number (5167102668840).

Almost surely, 2132212214304040 is an apocalyptic number.

132212214304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132212214304040 is an abundant number, since it is smaller than the sum of its proper divisors (198482356501720).

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

132212214304040 is a wasteful number, since it uses less digits than its factorization.

132212214304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201750322 (or 8201750318 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 132212214304040 its reverse (40403412212231), we get a palindrome (172615626516271).

The spelling of 132212214304040 in words is "one hundred thirty-two trillion, two hundred twelve billion, two hundred fourteen million, three hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 16120 8201750267 16403500534 32807001068 41008751335 65614002136 82017502670 106622753471 164035005340 213245506942 254254258277 328070010680 426491013884 508508516554 533113767355 852982027768 1017017033108 1066227534710 1271271291385 2034034066216 2132455069420 2542542582770 3305305357601 4264910138840 5085085165540 6610610715202 10170170331080 13221221430404 16526526788005 26442442860808 33053053576010 66106107152020 132212214304040