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132144100312 = 23719313463857
BaseRepresentation
bin111101100010001100…
…1101111001111011000
3110122002100102211022111
41323010121233033120
54131112342202222
6140412310402104
712355440214450
oct1730431571730
9418070384274
10132144100312
1151050999464
122173a960334
13c5cc163643
146578154d60
1536861dc777
hex1ec466f3d8

132144100312 has 128 divisors (see below), whose sum is σ = 300017203200. Its totient is φ = 53303298048.

The previous prime is 132144100301. The next prime is 132144100337. The reversal of 132144100312 is 213001441231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154193388 + ... + 154194244.

It is an arithmetic number, because the mean of its divisors is an integer number (2343884400).

Almost surely, 2132144100312 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 132144100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150008601600).

132144100312 is an abundant number, since it is smaller than the sum of its proper divisors (167873102888).

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

132144100312 is a wasteful number, since it uses less digits than its factorization.

132144100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 132144100312 its reverse (213001441231), we get a palindrome (345145541543).

The spelling of 132144100312 in words is "one hundred thirty-two billion, one hundred forty-four million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 313 463 532 626 857 926 1064 1252 1714 1852 2191 2504 3241 3428 3704 4382 5947 5999 6482 6856 8764 8797 11894 11998 12964 16283 17528 17594 23788 23996 25928 32566 35188 41629 47576 47992 61579 65132 70376 83258 113981 123158 130264 144919 166516 227962 246316 268241 289838 333032 396791 455924 492632 536482 579676 793582 911848 1014433 1072964 1159352 1587164 1877687 2028866 2145928 2753461 2777537 3174328 3755374 4057732 5096579 5506922 5555074 7510748 7539029 8115464 10193158 11013844 11110148 15021496 15078058 19274227 20386316 22027688 22220296 30156116 35676053 38548454 40772632 52773203 60312232 71352106 77096908 105546406 124195583 142704212 154193816 211092812 248391166 285408424 422185624 496782332 869369081 993564664 1738738162 2359716077 3477476324 4719432154 6954952648 9438864308 16518012539 18877728616 33036025078 66072050156 132144100312