Search a number
-
+
1332124420240 = 245432663145417
BaseRepresentation
bin10011011000101000110…
…011011000100010010000
311201100110001010002022101
4103120220303120202100
5133311142322421430
62455545225250144
7165146166513265
oct23305063304220
94640401102271
101332124420240
11473a50563629
12196211933954
139880764a723
1448691bd926c
15249b92dbdca
hex13628cd8890

1332124420240 has 80 divisors (see below), whose sum is σ = 3170428829568. Its totient is φ = 520258894848.

The previous prime is 1332124420171. The next prime is 1332124420303. The reversal of 1332124420240 is 420244212331.

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

It is a super-2 number, since 2×13321244202402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1332124420199 and 1332124420208.

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, 9088012 + ... + 9233428.

Almost surely, 21332124420240 is an apocalyptic number.

1332124420240 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 1332124420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585214414784).

1332124420240 is an abundant number, since it is smaller than the sum of its proper divisors (1838304409328).

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

1332124420240 is a wasteful number, since it uses less digits than its factorization.

1332124420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148136 (or 148130 counting only the distinct ones).

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

Adding to 1332124420240 its reverse (420244212331), we get a palindrome (1752368632571).

The spelling of 1332124420240 in words is "one trillion, three hundred thirty-two billion, one hundred twenty-four million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2663 3440 5326 10652 13315 21304 26630 42608 53260 106520 114509 145417 213040 229018 290834 458036 572545 581668 727085 916072 1145090 1163336 1454170 1832144 2290180 2326672 2908340 4580360 5816680 6252931 9160720 11633360 12505862 25011724 31264655 50023448 62529310 100046896 125058620 250117240 387245471 500234480 774490942 1548981884 1936227355 3097963768 3872454710 6195927536 7744909420 15489818840 16651555253 30979637680 33303110506 66606221012 83257776265 133212442024 166515552530 266424884048 333031105060 666062210120 1332124420240