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20414303344431 = 346721373471181
BaseRepresentation
bin1001010010001000100110…
…10011001001011100101111
32200021120212220022001120000
410221010103103021130233
510133431443124010211
6111230111304355343
74204612316240343
oct451042323113457
980246786261500
1020414303344431
116560726046847
122358518a75b53
13b510a3030099
145080b3cdb623
15256052332656
hex1291134c972f

20414303344431 has 120 divisors (see below), whose sum is σ = 31299702222096. Its totient is φ = 13258961591040.

The previous prime is 20414303344403. The next prime is 20414303344441. The reversal of 20414303344431 is 13444330341402.

20414303344431 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 303 + 344 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 20414303344431 - 238 = 20139425437487 is a prime.

It is a super-2 number, since 2×204143033444312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20414303344441) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17285607661 + ... + 17285608841.

Almost surely, 220414303344431 is an apocalyptic number.

20414303344431 is a deficient number, since it is larger than the sum of its proper divisors (10885398877665).

20414303344431 is a wasteful number, since it uses less digits than its factorization.

20414303344431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 20414303344431 its reverse (13444330341402), we get a palindrome (33858633685833).

The spelling of 20414303344431 in words is "twenty trillion, four hundred fourteen billion, three hundred three million, three hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 67 81 137 201 347 411 603 1041 1181 1233 1809 3123 3543 3699 4489 5427 9179 9369 10629 11097 13467 23249 27537 28107 31887 40401 47539 69747 79127 82611 95661 121203 142617 161797 209241 237381 247833 363609 409807 427851 485391 614993 627723 712143 743499 1229421 1283553 1456173 1557683 1844979 1883169 2136429 3185113 3688263 3850659 4368519 4673049 5301509 5534937 6409287 9555339 10840399 11064789 13105557 14019147 15904527 16604811 27457069 28666017 32521197 33194367 42057441 47713581 49814433 56143559 82371207 85998051 97563591 126172323 143140743 168430677 213402571 247113621 257994153 292690773 429422229 505292031 640207713 726306733 741340863 878072319 1515876093 1839623623 1920623139 2178920199 2224022589 3761618453 4547628279 5518870869 5761869417 6536760597 11284855359 16556612607 17285608251 19610281791 33854566077 49669837821 58830845373 101563698231 149009513463 252028436351 304691094693 756085309053 2268255927159 6804767781477 20414303344431