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132114303234440 = 23519315607568049
BaseRepresentation
bin11110000010100001000010…
…000111010011000110001000
3122022210000002221120002000022
4132002201002013103012020
5114304030043112000230
61144552250102000012
736553641410524142
oct3602410207230610
9568700087502008
10132114303234440
11391063a7a6591a
1212998778a16008
13589442c9c8c07
14248a51b55bc92
1510418e23411e5
hex7828421d3188

132114303234440 has 64 divisors (see below), whose sum is σ = 322995919680000. Its totient is φ = 48449387934720.

The previous prime is 132114303234439. The next prime is 132114303234479. The reversal of 132114303234440 is 44432303411231.

It is a super-3 number, since 3×1321143032344403 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 132114303234440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2803760465 + ... + 2803807584.

It is an arithmetic number, because the mean of its divisors is an integer number (5046811245000).

Almost surely, 2132114303234440 is an apocalyptic number.

132114303234440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114303234440 is an abundant number, since it is smaller than the sum of its proper divisors (190881616445560).

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

132114303234440 is a wasteful number, since it uses less digits than its factorization.

132114303234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607568110 (or 5607568106 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 132114303234440 its reverse (44432303411231), we get a palindrome (176546606645671).

The spelling of 132114303234440 in words is "one hundred thirty-two trillion, one hundred fourteen billion, three hundred three million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5890 11780 23560 5607568049 11215136098 22430272196 28037840245 44860544392 56075680490 106543792931 112151360980 173834609519 213087585862 224302721960 347669219038 426175171724 532718964655 695338438076 852350343448 869173047595 1065437929310 1390676876152 1738346095190 2130875858620 3302857580861 3476692190380 4261751717240 6605715161722 6953384380760 13211430323444 16514287904305 26422860646888 33028575808610 66057151617220 132114303234440