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13432503144450 = 23521311821582731
BaseRepresentation
bin1100001101110111111110…
…0101000001000000000010
31202120010122020110201022010
43003131333211001000002
53230034231301110300
644322450131553350
72554315643564445
oct303357745010002
952503566421263
1013432503144450
114309768927645
12160b38615b856
137658ab14c2c0
143461cac6165c
15184624806a50
hexc377f941002

13432503144450 has 96 divisors (see below), whose sum is σ = 35878212522432. Its totient is φ = 3306176928000.

The previous prime is 13432503144427. The next prime is 13432503144497. The reversal of 13432503144450 is 5444130523431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 13432503144399 and 13432503144408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22759585 + ... + 23342315.

It is an arithmetic number, because the mean of its divisors is an integer number (373731380442).

Almost surely, 213432503144450 is an apocalyptic number.

13432503144450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13432503144450 is an abundant number, since it is smaller than the sum of its proper divisors (22445709377982).

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

13432503144450 is a wasteful number, since it uses less digits than its factorization.

13432503144450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594580 (or 594575 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 13432503144450 its reverse (5444130523431), we get a palindrome (18876633667881).

The spelling of 13432503144450 in words is "thirteen trillion, four hundred thirty-two billion, five hundred three million, one hundred forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 11821 23642 35463 59105 70926 118210 153673 177315 295525 307346 354630 461019 582731 591050 768365 886575 922038 1165462 1536730 1748193 1773150 2305095 2913655 3496386 3841825 4610190 5827310 7575503 7683650 8740965 11525475 14568275 15151006 17481930 22726509 23050950 29136550 37877515 43704825 45453018 75755030 87409650 113632545 189387575 227265090 378775150 568162725 1136325450 6888463151 13776926302 20665389453 34442315755 41330778906 68884631510 89550020963 103326947265 172211578775 179100041926 206653894530 268650062889 344423157550 447750104815 516634736325 537300125778 895500209630 1033269472650 1343250314445 2238750524075 2686500628890 4477501048150 6716251572225 13432503144450