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141414132331241 = 71119934980932687
BaseRepresentation
bin100000001001110110001011…
…000111111011001011101001
3200112201001121000201010222122
4200021312023013323023221
5122013412120334044431
61220432431110401025
741533556012545040
oct4011661307731351
9615631530633878
10141414132331241
1141071440051130
1213a3b00a960175
1360ba3ac17a043
1426cc6a27b9557
15115378d1bda7b
hex809d8b1fb2e9

141414132331241 has 64 divisors (see below), whose sum is σ = 177927321600000. Its totient is φ = 109186469061120.

The previous prime is 141414132331217. The next prime is 141414132331253. The reversal of 141414132331241 is 142133231414141.

141414132331241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141414132331241 - 222 = 141414128136937 is a prime.

It is a super-2 number, since 2×1414141323312412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141414132339241) 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, 4326294800 + ... + 4326327486.

It is an arithmetic number, because the mean of its divisors is an integer number (2780114400000).

Almost surely, 2141414132331241 is an apocalyptic number.

141414132331241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141414132331241 is a deficient number, since it is larger than the sum of its proper divisors (36513189268759).

141414132331241 is a wasteful number, since it uses less digits than its factorization.

141414132331241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34062.

The product of its digits is 27648, while the sum is 35.

Adding to 141414132331241 its reverse (142133231414141), we get a palindrome (283547363745382).

The spelling of 141414132331241 in words is "one hundred forty-one trillion, four hundred fourteen billion, one hundred thirty-two million, three hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 7 11 77 199 349 809 1393 2189 2443 3839 5663 8899 15323 26873 32687 62293 69451 160991 228809 282341 359557 486157 763961 1126937 1770901 1976387 2516899 3105751 5347727 6504713 11407763 12396307 21740257 26443783 45532991 56185859 71551843 79854341 125485393 185106481 290881613 393301013 500862901 618044449 878397751 2036171291 2270144837 4326311143 5262312817 9228880267 15891013859 24971593207 36836189719 57885440987 64602161869 101517682937 174801152449 405198086909 710623780559 1836547173133 12855830211931 20202018904463 141414132331241