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132332240430 = 23351372751859
BaseRepresentation
bin111101100111110011…
…1011011111000101110
3110122120110110100001000
41323033213123320232
54132004023143210
6140443111101130
712363213325065
oct1731747337056
9418513410030
10132332240430
1151138110965
12217919717a6
13c62c127660
14659512b1dc
1536979a2ac0
hex1ecf9dbe2e

132332240430 has 128 divisors (see below), whose sum is σ = 380561126400. Its totient is φ = 32528656512.

The previous prime is 132332240407. The next prime is 132332240431. The reversal of 132332240430 is 34042233231.

132332240430 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 224 + 0 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132332240394 and 132332240403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132332240431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2525841 + ... + 2577699.

It is an arithmetic number, because the mean of its divisors is an integer number (2973133800).

Almost surely, 2132332240430 is an apocalyptic number.

132332240430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132332240430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190280563200).

132332240430 is an abundant number, since it is smaller than the sum of its proper divisors (248228885970).

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

132332240430 is a wasteful number, since it uses less digits than its factorization.

132332240430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52615 (or 52609 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 132332240430 its reverse (34042233231), we get a palindrome (166374473661).

The spelling of 132332240430 in words is "one hundred thirty-two billion, three hundred thirty-two million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 727 1170 1454 1755 2181 3510 3635 4362 6543 7270 9451 10905 13086 18902 19629 21810 28353 32715 39258 47255 51859 56706 65430 85059 94510 98145 103718 141765 155577 170118 196290 255177 259295 283530 311154 425295 466731 510354 518590 674167 777885 850590 933462 1275885 1348334 1400193 1555770 2022501 2333655 2551770 2800386 3370835 4045002 4667310 6067503 6741670 7000965 10112505 12135006 14001930 18202509 20225010 30337515 36405018 37701493 60675030 75402986 91012545 113104479 182025090 188507465 226208958 339313437 377014930 490119409 565522395 678626874 980238818 1017940311 1131044790 1470358227 1696567185 2035880622 2450597045 2940716454 3393134370 4411074681 4901194090 5089701555 7351791135 8822149362 10179403110 13233224043 14703582270 22055373405 26466448086 44110746810 66166120215 132332240430