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132141510053055 = 33523158326884177
BaseRepresentation
bin11110000010111010010111…
…110001000100110010111111
3122022212121100000222122212000
4132002322113301010302333
5114310001303033144210
61145012545514313343
736555623542624056
oct3602722761046277
9568777300878760
10132141510053055
1139116999559388
12129a1ab0428853
135896b774b0559
14248b97ca3939d
151042485b2aac0
hex782e97c44cbf

132141510053055 has 64 divisors (see below), whose sum is σ = 245286938603520. Its totient is φ = 67368734028288.

The previous prime is 132141510052973. The next prime is 132141510053099. The reversal of 132141510053055 is 550350015141231.

132141510053055 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 15 + 100 + 530 + 5 + 5 = 666.

It is not a de Polignac number, because 132141510053055 - 29 = 132141510052543 is a prime.

It is a super-2 number, since 2×1321415100530552 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8526874 + ... + 18357303.

It is an arithmetic number, because the mean of its divisors is an integer number (3832608415680).

Almost surely, 2132141510053055 is an apocalyptic number.

132141510053055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132141510053055 is a deficient number, since it is larger than the sum of its proper divisors (113145428550465).

132141510053055 is a wasteful number, since it uses less digits than its factorization.

132141510053055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26885797 (or 26885791 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 132141510053055 its reverse (550350015141231), we get a palindrome (682491525194286).

The spelling of 132141510053055 in words is "one hundred thirty-two trillion, one hundred forty-one billion, five hundred ten million, fifty-three thousand, fifty-five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 1583 3105 4749 7915 14247 23745 36409 42741 71235 109227 182045 213705 327681 546135 983043 1638405 4915215 26884177 80652531 134420885 241957593 403262655 618336071 725872779 1209787965 1855008213 3091680355 3629363895 5565024639 9275041065 16695073917 27825123195 42557652191 83475369585 127672956573 212788260955 383018869719 638364782865 978826000393 1149056609157 1915094348595 2936478001179 4894130001965 5745283045785 8809434003537 14682390005895 26428302010611 44047170017685 132141510053055