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132301211440 = 24510722768087
BaseRepresentation
bin111101100110111000…
…1000100011100110000
3110122111022001220021011
41323031301010130300
54131423102231230
6140440042040304
712362355512416
oct1731561043460
9418438056234
10132301211440
1151121648372
12217834a9094
13c6258821c8
146590d712b6
153694dc3e2a
hex1ecdc44730

132301211440 has 80 divisors (see below), whose sum is σ = 311847397632. Its totient is φ = 52194182912.

The previous prime is 132301211423. The next prime is 132301211467. The reversal of 132301211440 is 44112103231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1323012114402 (a number of 23 digits) contains 22 as substring.

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, 1909077 + ... + 1977163.

Almost surely, 2132301211440 is an apocalyptic number.

132301211440 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 132301211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155923698816).

132301211440 is an abundant number, since it is smaller than the sum of its proper divisors (179546186192).

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

132301211440 is a wasteful number, since it uses less digits than its factorization.

132301211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68434 (or 68428 counting only the distinct ones).

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

Adding to 132301211440 its reverse (44112103231), we get a palindrome (176413314671).

The spelling of 132301211440 in words is "one hundred thirty-two billion, three hundred one million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 227 428 454 535 856 908 1070 1135 1712 1816 2140 2270 3632 4280 4540 8560 9080 18160 24289 48578 68087 97156 121445 136174 194312 242890 272348 340435 388624 485780 544696 680870 971560 1089392 1361740 1943120 2723480 5446960 7285309 14570618 15455749 29141236 30911498 36426545 58282472 61822996 72853090 77278745 116564944 123645992 145706180 154557490 247291984 291412360 309114980 582824720 618229960 1236459920 1653765143 3307530286 6615060572 8268825715 13230121144 16537651430 26460242288 33075302860 66150605720 132301211440