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314012202210413 = 72373137376151853
BaseRepresentation
bin100011101100101111010100…
…1110001001001010001101101
31112011211021101021111001111122
41013121132221301021101231
5312124233442231213123
63031503114135030325
7123066430046206130
oct10731365161112155
91464737337431448
10314012202210413
1191065910959423
122b27580320b3a5
131062a2ba36c9c5
1457783b36bc217
1526482a0b21bc8
hex11d97a9c4946d

314012202210413 has 64 divisors (see below), whose sum is σ = 382483838702592. Its totient is φ = 251998927994880.

The previous prime is 314012202210403. The next prime is 314012202210419.

It is a happy number.

314012202210413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314012202210413 - 24 = 314012202210397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314012202210419) 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, 6055789595 + ... + 6055841447.

It is an arithmetic number, because the mean of its divisors is an integer number (5976309979728).

Almost surely, 2314012202210413 is an apocalyptic number.

It is an amenable number.

314012202210413 is a deficient number, since it is larger than the sum of its proper divisors (68471636492179).

314012202210413 is a wasteful number, since it uses less digits than its factorization.

314012202210413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55854.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 31401220 and 2210413, that added together give a palindrome (33611633).

The spelling of 314012202210413 in words is "three hundred fourteen trillion, twelve billion, two hundred two million, two hundred ten thousand, four hundred thirteen".

Divisors: 1 7 23 73 137 161 511 959 1679 3151 3761 10001 11753 22057 26327 51853 70007 86503 230023 274553 362971 515257 605521 1192619 1610161 1921871 3606799 3785269 6314719 7103861 8348333 11850911 26496883 37613761 44203033 49727027 82956377 87061187 163388803 195019133 263296327 518581853 609428309 865116503 1143721621 1365133931 3630072971 4485440059 6055815521 11927382619 14236396709 26717621221 31398080413 83491678333 99654776963 187023348547 327437124307 614505288083 1950386349133 2292059870149 4301537016581 13652704443931 44858886030059 314012202210413