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132441431004 = 2232171151188017
BaseRepresentation
bin111101101011000011…
…1111101101111011100
3110122212001220210100100
41323112013331233130
54132220001243004
6140502011301100
712366010406001
oct1732607755734
9418761823310
10132441431004
115119380a403
122180244a790
13c64893846c
1465a58318a8
1536a2370739
hex1ed61fdbdc

132441431004 has 72 divisors (see below), whose sum is σ = 354785453568. Its totient is φ = 41513932800.

The previous prime is 132441430991. The next prime is 132441431039. The reversal of 132441431004 is 400134144231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610404 + ... + 798420.

It is an arithmetic number, because the mean of its divisors is an integer number (4927575744).

Almost surely, 2132441431004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132441431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177392726784).

132441431004 is an abundant number, since it is smaller than the sum of its proper divisors (222344022564).

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

132441431004 is a wasteful number, since it uses less digits than its factorization.

132441431004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189195 (or 189190 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 132441431004 its reverse (400134144231), we get a palindrome (532575575235).

The spelling of 132441431004 in words is "one hundred thirty-two billion, four hundred forty-one million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1151 2302 3453 4604 6906 10359 13812 19567 20718 39134 41436 58701 78268 117402 176103 188017 234804 352206 376034 564051 704412 752068 1128102 1692153 2256204 3196289 3384306 6392578 6768612 9588867 12785156 19177734 28766601 38355468 57533202 115066404 216407567 432815134 649222701 865630268 1298445402 1947668103 2596890804 3678928639 3895336206 7357857278 7790672412 11036785917 14715714556 22073571834 33110357751 44147143668 66220715502 132441431004