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132440426144 = 251310713012287
BaseRepresentation
bin111101101011000010…
…0001000011010100000
3110122212000000201221022
41323112010020122200
54132214222114034
6140501533545012
712365666022245
oct1732604103240
9418760021838
10132440426144
1151193193444
1221802045168
13c648675c80
1465a564d5cc
1536a2222b2e
hex1ed61086a0

132440426144 has 96 divisors (see below), whose sum is σ = 283765337856. Its totient is φ = 60482073600.

The previous prime is 132440426137. The next prime is 132440426159. The reversal of 132440426144 is 441624044231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57908969 + ... + 57911255.

It is an arithmetic number, because the mean of its divisors is an integer number (2955888936).

Almost surely, 2132440426144 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 132440426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141882668928).

132440426144 is an abundant number, since it is smaller than the sum of its proper divisors (151324911712).

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

132440426144 is a wasteful number, since it uses less digits than its factorization.

132440426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 132440426144 in words is "one hundred thirty-two billion, four hundred forty million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 856 1301 1391 1712 2287 2602 2782 3424 4574 5204 5564 9148 10408 11128 16913 18296 20816 22256 29731 33826 36592 41632 44512 59462 67652 73184 118924 135304 139207 237848 244709 270608 278414 475696 489418 541216 556828 951392 978836 1113656 1809691 1957672 2227312 2975387 3181217 3619382 3915344 4454624 5950774 6362434 7238764 7830688 11901548 12724868 14477528 23803096 25449736 28955056 38680031 47606192 50899472 57910112 77360062 95212384 101798944 154720124 309440248 318366409 618880496 636732818 1237760992 1273465636 2546931272 4138763317 5093862544 8277526634 10187725088 16555053268 33110106536 66220213072 132440426144