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132114021344 = 2531711939719
BaseRepresentation
bin111101100001010011…
…0111111101111100000
3110122000020211122201122
41323002212333233200
54131032142140334
6140405313551412
712354623436614
oct1730246775740
9418006748648
10132114021344
1151035a14708
1221730875568
13c5c5b61736
146574165344
15368374a32e
hex1ec29bfbe0

132114021344 has 96 divisors (see below), whose sum is σ = 273710223360. Its totient is φ = 62692761600.

The previous prime is 132114021341. The next prime is 132114021349. The reversal of 132114021344 is 443120411231.

It is a super-2 number, since 2×1321140213442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114021341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13588517 + ... + 13598235.

It is an arithmetic number, because the mean of its divisors is an integer number (2851148160).

Almost surely, 2132114021344 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 132114021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136855111680).

132114021344 is an abundant number, since it is smaller than the sum of its proper divisors (141596202016).

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

132114021344 is a wasteful number, since it uses less digits than its factorization.

132114021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024 (or 10016 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 132114021344 its reverse (443120411231), we get a palindrome (575234432575).

The spelling of 132114021344 in words is "one hundred thirty-two billion, one hundred fourteen million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 71 124 142 193 248 284 386 496 568 772 992 1136 1544 2201 2272 3088 4402 5983 6176 8804 9719 11966 13703 17608 19438 23932 27406 35216 38876 47864 54812 70432 77752 95728 109624 155504 191456 219248 301289 311008 424793 438496 602578 690049 849586 1205156 1380098 1699172 1875767 2410312 2760196 3398344 3751534 4820624 5520392 6796688 7503068 9641248 11040784 13593376 15006136 21391519 22081568 30012272 42783038 58148777 60024544 85566076 116297554 133179457 171132152 232595108 266358914 342264304 465190216 532717828 684528608 930380432 1065435656 1860760864 2130871312 4128563167 4261742624 8257126334 16514252668 33028505336 66057010672 132114021344