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13302441433040 = 245233371273261
BaseRepresentation
bin1100000110010011011101…
…0010111101011111010000
31202002200221000102012112112
43001210313102331133100
53220421400001324130
644143020210044452
72542032620354444
oct301446722753720
952080830365475
1013302441433040
114269596438851
1215aa128879728
1375655154b856
1433dbad4d0824
15181061353495
hexc19374bd7d0

13302441433040 has 40 divisors (see below), whose sum is σ = 30941433592488. Its totient is φ = 5318695754240.

The previous prime is 13302441433007. The next prime is 13302441433109. The reversal of 13302441433040 is 4033414420331.

It can be written as a sum of positive squares in 4 ways, for example, as 578153412496 + 12724288020544 = 760364^2 + 3567112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13302441432988 and 13302441433006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35449991 + ... + 35823270.

Almost surely, 213302441433040 is an apocalyptic number.

13302441433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302441433040 is an abundant number, since it is smaller than the sum of its proper divisors (17638992159448).

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

13302441433040 is a wasteful number, since it uses less digits than its factorization.

13302441433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71275607 (or 71275601 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 13302441433040 its reverse (4033414420331), we get a palindrome (17335855853371).

The spelling of 13302441433040 in words is "thirteen trillion, three hundred two billion, four hundred forty-one million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2333 4666 9332 11665 18664 23330 37328 46660 93320 186640 71273261 142546522 285093044 356366305 570186088 712732610 1140372176 1425465220 2850930440 5701860880 166280517913 332561035826 665122071652 831402589565 1330244143304 1662805179130 2660488286608 3325610358260 6651220716520 13302441433040