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132255215025440 = 25513411550835073
BaseRepresentation
bin11110000100100100010001…
…000111000111110100100000
3122100021110211022221201212112
4132010210101013013310200
5114313332140021303230
61145141112414414452
736600060343141223
oct3604442107076440
9570243738851775
10132255215025440
1139160137aa5041
12129bbb43b01428
1358a47c84523c0
142493287cd55ba
1510453dd11cd95
hex7849111c7d20

132255215025440 has 96 divisors (see below), whose sum is σ = 344694806887536. Its totient is φ = 47641653411840.

The previous prime is 132255215025391. The next prime is 132255215025463. The reversal of 132255215025440 is 44520512552231.

It can be written as a sum of positive squares in 8 ways, for example, as 4688039075344 + 127567175950096 = 2165188^2 + 11294564^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775332257 + ... + 775502816.

Almost surely, 2132255215025440 is an apocalyptic number.

132255215025440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132255215025440 is an abundant number, since it is smaller than the sum of its proper divisors (212439591862096).

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

132255215025440 is a wasteful number, since it uses less digits than its factorization.

132255215025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550835142 (or 1550835134 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 41.

Adding to 132255215025440 its reverse (44520512552231), we get a palindrome (176775727577671).

The spelling of 132255215025440 in words is "one hundred thirty-two trillion, two hundred fifty-five billion, two hundred fifteen million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 130 160 164 205 208 260 328 410 416 520 533 656 820 1040 1066 1312 1640 2080 2132 2665 3280 4264 5330 6560 8528 10660 17056 21320 42640 85280 1550835073 3101670146 6203340292 7754175365 12406680584 15508350730 20160855949 24813361168 31016701460 40321711898 49626722336 62033402920 63584237993 80643423796 100804279745 124066805840 127168475986 161286847592 201608559490 248133611680 254336951972 317921189965 322573695184 403217118980 508673903944 635842379930 645147390368 806434237960 826595093909 1017347807888 1271684759860 1612868475920 1653190187818 2034695615776 2543369519720 3225736951840 3306380375636 4132975469545 5086739039440 6612760751272 8265950939090 10173478078880 13225521502544 16531901878180 26451043005088 33063803756360 66127607512720 132255215025440