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132124041433041 = 372316312301136429
BaseRepresentation
bin11110000010101010000110…
…100011100100111111010001
3122022210221020121200211010120
4132002222012203210333101
5114304210014101324131
61145000540253220453
736554434626042540
oct3602520643447721
9568727217624116
10132124041433041
113910a544a16639
121299a636191729
1358953223a11c8
14248aba2a12157
151041cb2238496
hex782a868e4fd1

132124041433041 has 64 divisors (see below), whose sum is σ = 211393032990720. Its totient is φ = 71767458259200.

The previous prime is 132124041432941. The next prime is 132124041433073. The reversal of 132124041433041 is 140334140421231.

It is a happy number.

It is not a de Polignac number, because 132124041433041 - 211 = 132124041430993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132124041432993 and 132124041433011.

It is not an unprimeable number, because it can be changed into a prime (132124041433441) 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 63 ways as a sum of consecutive naturals, for example, 968377215 + ... + 968513643.

It is an arithmetic number, because the mean of its divisors is an integer number (3303016140480).

Almost surely, 2132124041433041 is an apocalyptic number.

It is an amenable number.

132124041433041 is a deficient number, since it is larger than the sum of its proper divisors (79268991557679).

132124041433041 is a wasteful number, since it uses less digits than its factorization.

132124041433041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148926.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 132124041433041 its reverse (140334140421231), we get a palindrome (272458181854272).

The spelling of 132124041433041 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, forty-one million, four hundred thirty-three thousand, forty-one".

Divisors: 1 3 7 21 23 69 161 163 483 489 1141 3423 3749 11247 12301 26243 36903 78729 86107 136429 258321 282923 409287 848769 955003 1980461 2005063 2865009 3137867 5941383 6015189 9413601 14035441 21965069 22237927 42106323 46116449 65895207 66713781 138349347 155665489 322815143 466996467 511472321 968445429 1534416963 1678213129 3580306247 5034639387 10740918741 11747491903 35242475709 38598901967 115796705901 270192313769 273548740027 810576941307 820646220081 1914841180189 5744523540567 6291621020621 18874863061863 44041347144347 132124041433041