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132212410344 = 233272140926597
BaseRepresentation
bin111101100100001111…
…0010100011111101000
3110122021002222100001200
41323020132110133220
54131232334112334
6140423150444200
712360226642200
oct1731036243750
9418232870050
10132212410344
1151086505833
1221759803660
13c61035cb91
146583257400
15368c1d2799
hex1ec87947e8

132212410344 has 144 divisors (see below), whose sum is σ = 416847845700. Its totient is φ = 37746745344.

The previous prime is 132212410303. The next prime is 132212410361. The reversal of 132212410344 is 443014212231.

132212410344 is a `hidden beast` number, since 1 + 3 + 2 + 212 + 410 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130799402244 + 1413008100 = 361662^2 + 37590^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4957654 + ... + 4984250.

Almost surely, 2132212410344 is an apocalyptic number.

132212410344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132212410344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208423922850).

132212410344 is an abundant number, since it is smaller than the sum of its proper divisors (284635435356).

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

132212410344 is a wasteful number, since it uses less digits than its factorization.

132212410344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28032 (or 28018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132212410344 its reverse (443014212231), we get a palindrome (575226622575).

The spelling of 132212410344 in words is "one hundred thirty-two billion, two hundred twelve million, four hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1409 1764 2818 3528 4227 5636 8454 9863 11272 12681 16908 19726 25362 26597 29589 33816 39452 50724 53194 59178 69041 78904 79791 88767 101448 106388 118356 138082 159582 177534 186179 207123 212776 236712 239373 276164 319164 355068 372358 414246 478746 552328 558537 621369 638328 710136 744716 828492 957492 1117074 1242738 1303253 1489432 1656984 1675611 1914984 2234148 2485476 2606506 3351222 3909759 4468296 4970952 5213012 6702444 7819518 10426024 11729277 13404888 15639036 23458554 31278072 37475173 46917108 74950346 93834216 112425519 149900692 224851038 262326211 299801384 337276557 449702076 524652422 674553114 786978633 899404152 1049304844 1349106228 1573957266 1836283477 2098609688 2360935899 2698212456 3147914532 3672566954 4721871798 5508850431 6295829064 7345133908 9443743596 11017700862 14690267816 16526551293 18887487192 22035401724 33053102586 44070803448 66106205172 132212410344