Search a number
-
+
31434013414111 = 731130727137801
BaseRepresentation
bin1110010010110110011010…
…01101000001001011011111
311010022001200102221000111011
413021123031031001023133
513110003324413222421
6150504330355240051
76423014104321000
oct711331515011337
9133261612830434
1031434013414111
11a01a0aa0a8840
1236381575a9027
1314702a3a48459
147a95b30471a7
15397a0e0874e1
hex1c96cd3412df

31434013414111 has 32 divisors (see below), whose sum is σ = 40120526476800. Its totient is φ = 24414250392000.

The previous prime is 31434013414109. The next prime is 31434013414121. The reversal of 31434013414111 is 11141431043413.

It is a happy number.

It is not a de Polignac number, because 31434013414111 - 21 = 31434013414109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434013414121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12410590 + ... + 14727211.

It is an arithmetic number, because the mean of its divisors is an integer number (1253766452400).

Almost surely, 231434013414111 is an apocalyptic number.

31434013414111 is a deficient number, since it is larger than the sum of its proper divisors (8686513062689).

31434013414111 is a wasteful number, since it uses less digits than its factorization.

31434013414111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27138140 (or 27138126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 31434013414111 its reverse (11141431043413), we get a palindrome (42575444457524).

The spelling of 31434013414111 in words is "thirty-one trillion, four hundred thirty-four billion, thirteen million, four hundred fourteen thousand, one hundred eleven".

Divisors: 1 7 11 49 77 307 343 539 2149 3377 3773 15043 23639 105301 165473 1158311 27137801 189964607 298515811 1329752249 2089610677 8331304907 9308265743 14627274739 58319134349 91644353977 102390923173 408233940443 641510477839 2857637583101 4490573344873 31434013414111