Search a number
-
+
132714115020 = 223255912496621
BaseRepresentation
bin111101110011001100…
…0001010111111001100
3110200120002000120111100
41323212120022333030
54133244303140040
6140545032023100
712405531236064
oct1734630127714
9420502016440
10132714115020
11513137269a3
1221879831a90
13c690290b56
1465cdb343a4
1536bb285b30
hex1ee660afcc

132714115020 has 72 divisors (see below), whose sum is σ = 409389336720. Its totient is φ = 34790590080.

The previous prime is 132714115019. The next prime is 132714115021. The reversal of 132714115020 is 20511417231.

132714115020 is a `hidden beast` number, since 13 + 2 + 7 + 141 + 1 + 502 + 0 = 666.

132714115020 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132714115019) and next prime (132714115021).

It is a super-2 number, since 2×1327141150202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132714115021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6237691 + ... + 6258930.

It is an arithmetic number, because the mean of its divisors is an integer number (5685963010).

Almost surely, 2132714115020 is an apocalyptic number.

132714115020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132714115020 is an abundant number, since it is smaller than the sum of its proper divisors (276675221700).

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

132714115020 is a wasteful number, since it uses less digits than its factorization.

132714115020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12496695 (or 12496690 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 132714115020 in words is "one hundred thirty-two billion, seven hundred fourteen million, one hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 12496621 24993242 37489863 49986484 62483105 74979726 112469589 124966210 149959452 187449315 224939178 249932420 374898630 449878356 562347945 737300639 749797260 1124695890 1474601278 2211901917 2249391780 2949202556 3686503195 4423803834 6635705751 7373006390 8847607668 11059509585 13271411502 14746012780 22119019170 26542823004 33178528755 44238038340 66357057510 132714115020