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131414301434 = 21331714395231
BaseRepresentation
bin111101001100011100…
…1110001101011111010
3110120012111012012110102
41322120321301223322
54123114030121214
6140212040315402
712331366063103
oct1723071615372
9416174165412
10131414301434
1150806a46799
1221576472b62
13c513bbc9a0
1465092613aa
1536420d0bde
hex1e98e71afa

131414301434 has 64 divisors (see below), whose sum is σ = 222767677440. Its totient is φ = 57726648000.

The previous prime is 131414301427. The next prime is 131414301443. The reversal of 131414301434 is 434103414131.

It is a junction number, because it is equal to n+sod(n) for n = 131414301397 and 131414301406.

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, 25119599 + ... + 25124829.

It is an arithmetic number, because the mean of its divisors is an integer number (3480744960).

Almost surely, 2131414301434 is an apocalyptic number.

131414301434 is a deficient number, since it is larger than the sum of its proper divisors (91353376006).

131414301434 is a wasteful number, since it uses less digits than its factorization.

131414301434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5787.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 131414301434 its reverse (434103414131), we get a palindrome (565517715565).

The spelling of 131414301434 in words is "one hundred thirty-one billion, four hundred fourteen million, three hundred one thousand, four hundred thirty-four".

Divisors: 1 2 13 26 31 62 71 142 403 439 806 878 923 1846 2201 4402 5231 5707 10462 11414 13609 27218 28613 31169 57226 62338 68003 136006 162161 176917 324322 353834 371401 405197 742802 810394 966239 1932478 2108093 2296409 4216186 4592818 4828213 9656426 11513431 12561107 23026862 25122214 29853317 59706634 71188679 142377358 149674603 163045039 299349206 326090078 925452827 1850905654 2119585507 4239171014 5054396209 10108792418 65707150717 131414301434