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132260353534140 = 223513741972285329
BaseRepresentation
bin11110000100101001000011…
…011000111110100010111100
3122100021222002102222000122120
4132010221003120332202330
5114313423201001043030
61145143322334442540
736600331566555156
oct3604510330764274
9570258072860576
10132260353534140
1139162334605747
1212a00b38963450
1358a5136bb85b0
14249361452dad6
1510455de2d4010
hex784a4363e8bc

132260353534140 has 96 divisors (see below), whose sum is σ = 398821384879680. Its totient is φ = 32555941687296.

The previous prime is 132260353534097. The next prime is 132260353534147. The reversal of 132260353534140 is 41435353062231.

It is a super-2 number, since 2×1322603535341402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132260353534092 and 132260353534101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132260353534147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56730996 + ... + 59016324.

It is an arithmetic number, because the mean of its divisors is an integer number (4154389425830).

Almost surely, 2132260353534140 is an apocalyptic number.

132260353534140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132260353534140 is an abundant number, since it is smaller than the sum of its proper divisors (266561031345540).

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

132260353534140 is a wasteful number, since it uses less digits than its factorization.

132260353534140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359551 (or 2359549 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 132260353534140 in words is "one hundred thirty-two trillion, two hundred sixty billion, three hundred fifty-three million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 74197 148394 222591 296788 370985 445182 741970 890364 964561 1112955 1483940 1929122 2225910 2285329 2893683 3858244 4451820 4570658 4822805 5787366 6855987 9141316 9645610 11426645 11574732 13711974 14468415 19291220 22853290 27423948 28936830 29709277 34279935 45706580 57873660 59418554 68559870 89127831 118837108 137119740 148546385 178255662 297092770 356511324 445639155 594185540 891278310 1782556620 169564555813 339129111626 508693667439 678258223252 847822779065 1017387334878 1695645558130 2034774669756 2204339225569 2543468337195 3391291116260 4408678451138 5086936674390 6613017676707 8817356902276 10173873348780 11021696127845 13226035353414 22043392255690 26452070706828 33065088383535 44086784511380 66130176767070 132260353534140