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132444034120 = 23553215329017
BaseRepresentation
bin111101101011001000…
…1111001010001001000
3110122212020211001011001
41323112101321101020
54132221133042440
6140502143144344
712366041500156
oct1732621712110
9418766731131
10132444034120
1151195228142
12218032a50b4
13c64933a278
1465a5d0c3d6
1536a26d6b9a
hex1ed6479448

132444034120 has 64 divisors (see below), whose sum is σ = 303773191920. Its totient is φ = 51952103424.

The previous prime is 132444034117. The next prime is 132444034147. The reversal of 132444034120 is 21430444231.

It can be written as a sum of positive squares in 8 ways, for example, as 20357011684 + 112087022436 = 142678^2 + 334794^2 .

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, 4549852 + ... + 4578868.

Almost surely, 2132444034120 is an apocalyptic number.

132444034120 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 132444034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151886595960).

132444034120 is an abundant number, since it is smaller than the sum of its proper divisors (171329157800).

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

132444034120 is a wasteful number, since it uses less digits than its factorization.

132444034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31234 (or 31230 counting only the distinct ones).

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

Adding to 132444034120 its reverse (21430444231), we get a palindrome (153874478351).

The spelling of 132444034120 in words is "one hundred thirty-two billion, four hundred forty-four million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 2153 4306 8612 10765 17224 21530 29017 43060 58034 86120 114109 116068 145085 228218 232136 290170 456436 570545 580340 912872 1141090 1160680 1537901 2282180 3075802 4564360 6151604 7689505 12303208 15379010 30758020 61516040 62473601 124947202 249894404 312368005 499788808 624736010 1249472020 2498944040 3311100853 6622201706 13244403412 16555504265 26488806824 33111008530 66222017060 132444034120