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1332140304341 = 7111723233918917
BaseRepresentation
bin10011011000101001101…
…111111110011111010101
311201100111011000002012102
4103120221233332133111
5133311210404214331
62455550553531445
7165146451520520
oct23305157763725
94640434002172
101332140304341
11473a59522590
12196217113b85
139880aa1c5c2
1448693d71bb7
15249ba8c84cb
hex13629bfe7d5

1332140304341 has 64 divisors (see below), whose sum is σ = 1835887472640. Its totient is φ = 934044840960.

The previous prime is 1332140304331. The next prime is 1332140304377. The reversal of 1332140304341 is 1434030412331.

It is a happy number.

It is not a de Polignac number, because 1332140304341 - 26 = 1332140304277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332140304331) 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, 70410815 + ... + 70429731.

It is an arithmetic number, because the mean of its divisors is an integer number (28685741760).

Almost surely, 21332140304341 is an apocalyptic number.

1332140304341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1332140304341 is a deficient number, since it is larger than the sum of its proper divisors (503747168299).

1332140304341 is a wasteful number, since it uses less digits than its factorization.

1332140304341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21314.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 1332140304341 its reverse (1434030412331), we get a palindrome (2766170716672).

The spelling of 1332140304341 in words is "one trillion, three hundred thirty-two billion, one hundred forty million, three hundred four thousand, three hundred forty-one".

Divisors: 1 7 11 17 23 77 119 161 187 253 391 1309 1771 2339 2737 4301 16373 18917 25729 30107 39763 53797 132419 180103 208087 278341 321589 376579 435091 437393 591767 914549 1456609 2251123 3045637 3061751 3537479 4142369 4786001 6401843 7396547 10060039 24762353 33502007 44246863 51775829 70420273 81362017 309728041 486715493 569534119 752196671 1017677849 3407008451 5265376697 7123744943 8274163381 11194456339 17300523433 57919143667 78361194373 121103664031 190305757763 1332140304341