Search a number
-
+
431123143412214 = 233112413011603891
BaseRepresentation
bin110001000000110101010110…
…1110100010100100111110110
32002112110222012010102210112000
41202001222231310110213312
5423002010144203142324
64124531123215240130
7156544422252660231
oct14201525564244766
92075428163383460
10431123143412214
1111540733110a8a0
124042a678519046
1315673979457906
147866685a3c418
1534c97805959c9
hex1881aadd149f6

431123143412214 has 64 divisors (see below), whose sum is σ = 1049483724284160. Its totient is φ = 130101288048000.

The previous prime is 431123143412207. The next prime is 431123143412231. The reversal of 431123143412214 is 412214341321134.

431123143412214 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 2 + 3 + 1 + 434 + 1 + 2 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505658792 + ... + 1505945099.

It is an arithmetic number, because the mean of its divisors is an integer number (16398183191940).

Almost surely, 2431123143412214 is an apocalyptic number.

431123143412214 is an abundant number, since it is smaller than the sum of its proper divisors (618360580871946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431123143412214 is a wasteful number, since it uses less digits than its factorization.

431123143412214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011604154 (or 3011604148 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 431123143412214 its reverse (412214341321134), we get a palindrome (843337484733348).

The spelling of 431123143412214 in words is "four hundred thirty-one trillion, one hundred twenty-three billion, one hundred forty-three million, four hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 241 297 482 594 723 1446 2169 2651 4338 5302 6507 7953 13014 15906 23859 47718 71577 143154 3011603891 6023207782 9034811673 18069623346 27104435019 33127642801 54208870038 66255285602 81313305057 99382928403 162626610114 198765856806 298148785209 596297570418 725796537731 894446355627 1451593075462 1788892711254 2177389613193 4354779226386 6532168839579 7983761915041 13064337679158 15967523830082 19596506518737 23951285745123 39193013037474 47902571490246 71853857235369 143707714470738 215561571706107 431123143412214