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132122434240 = 26510313073067
BaseRepresentation
bin111101100001100011…
…1000101101011000000
3110122000211200002001101
41323003013011223000
54131041320343430
6140410214144144
712355055106166
oct1730307055300
9418024602041
10132122434240
115103a740415
1221733652054
13c5c7818a94
146575315236
15368435cdca
hex1ec31c5ac0

132122434240 has 112 divisors (see below), whose sum is σ = 318017786112. Its totient is φ = 52278782976.

The previous prime is 132122434229. The next prime is 132122434243. The reversal of 132122434240 is 42434221231.

It is a junction number, because it is equal to n+sod(n) for n = 132122434199 and 132122434208.

It is not an unprimeable number, because it can be changed into a prime (132122434243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43077187 + ... + 43080253.

Almost surely, 2132122434240 is an apocalyptic number.

132122434240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132122434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159008893056).

132122434240 is an abundant number, since it is smaller than the sum of its proper divisors (185895351872).

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

132122434240 is a wasteful number, since it uses less digits than its factorization.

132122434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132122434240 its reverse (42434221231), we get a palindrome (174556655471).

The spelling of 132122434240 in words is "one hundred thirty-two billion, one hundred twenty-two million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1307 1648 2060 2614 3067 3296 4120 5228 6134 6535 6592 8240 10456 12268 13070 15335 16480 20912 24536 26140 30670 32960 41824 49072 52280 61340 83648 98144 104560 122680 134621 196288 209120 245360 269242 315901 418240 490720 538484 631802 673105 981440 1076968 1263604 1346210 1579505 2153936 2527208 2692420 3159010 4008569 4307872 5054416 5384840 6318020 8017138 8615744 10108832 10769680 12636040 16034276 20042845 20217664 21539360 25272080 32068552 40085690 43078720 50544160 64137104 80171380 101088320 128274208 160342760 256548416 320685520 412882607 641371040 825765214 1282742080 1651530428 2064413035 3303060856 4128826070 6606121712 8257652140 13212243424 16515304280 26424486848 33030608560 66061217120 132122434240