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5340413431251 = 326771831502869
BaseRepresentation
bin100110110110110100101…
…1100100000110111010011
3200220112112121001011201100
41031231221130200313103
51144444131314300001
615205204013435443
71060555265120313
oct115555134406723
920815477034640
105340413431251
111779947180918
1272301179bb83
132c97a280a2b2
14146697d55443
1593db2d30586
hex4db69720dd3

5340413431251 has 48 divisors (see below), whose sum is σ = 8034992259840. Its totient is φ = 3416079078720.

The previous prime is 5340413431247. The next prime is 5340413431277. The reversal of 5340413431251 is 1521343140435.

5340413431251 is a `hidden beast` number, since 5 + 340 + 4 + 1 + 34 + 31 + 251 = 666.

It is not a de Polignac number, because 5340413431251 - 22 = 5340413431247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5340413431211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2802045 + ... + 4304913.

It is an arithmetic number, because the mean of its divisors is an integer number (167395672080).

Almost surely, 25340413431251 is an apocalyptic number.

5340413431251 is a deficient number, since it is larger than the sum of its proper divisors (2694578828589).

5340413431251 is a wasteful number, since it uses less digits than its factorization.

5340413431251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503096 (or 1503093 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 5340413431251 its reverse (1521343140435), we get a palindrome (6861756571686).

The spelling of 5340413431251 in words is "five trillion, three hundred forty billion, four hundred thirteen million, four hundred thirty-one thousand, two hundred fifty-one".

Divisors: 1 3 9 67 71 83 201 213 249 603 639 747 4757 5561 5893 14271 16683 17679 42813 50049 53037 394831 1184493 1502869 3553479 4508607 13525821 100692223 106703699 124738127 302076669 320111097 374214381 906230007 960333291 1122643143 7149147833 8357454509 8856407017 21447443499 25072363527 26569221051 64342330497 75217090581 79707663153 593379270139 1780137810417 5340413431251