Search a number
-
+
141234431313213 = 32737316871912129
BaseRepresentation
bin100000000111001110110100…
…000110111100010100111101
3200112001212202100112120220100
4200013032310012330110331
5122002441103404010323
61220214111350111313
741514564604234350
oct4007166406742475
9615055670476810
10141234431313213
1141002205558597
1213a1021934b539
1360a6471468104
1426c3ad65aa297
15114dc71d72943
hex8073b41bc53d

141234431313213 has 48 divisors (see below), whose sum is σ = 239457906138880. Its totient is φ = 78521643399168.

The previous prime is 141234431313197. The next prime is 141234431313229. The reversal of 141234431313213 is 312313134432141.

141234431313213 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 3 + 4 + 431 + 3 + 1 + 3 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (141234431313197) and next prime (141234431313229).

It is not a de Polignac number, because 141234431313213 - 24 = 141234431313197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141234431313713) 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, 72906333 + ... + 74818461.

Almost surely, 2141234431313213 is an apocalyptic number.

It is an amenable number.

141234431313213 is a deficient number, since it is larger than the sum of its proper divisors (98223474825667).

141234431313213 is a wasteful number, since it uses less digits than its factorization.

141234431313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943866 (or 1943863 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 141234431313213 its reverse (312313134432141), we get a palindrome (453547565745354).

The spelling of 141234431313213 in words is "one hundred forty-one trillion, two hundred thirty-four billion, four hundred thirty-one million, three hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 31687 95061 221809 285183 665427 1172419 1912129 1996281 3517257 5736387 8206933 10551771 13384903 17209161 24620799 40154709 70748773 73862397 120464127 212246319 495241411 636738957 1485724233 4457172699 60589631623 181768894869 424127421361 545306684607 1272382264083 2241816370051 3817146792249 6725449110153 15692714590357 20176347330459 47078143771071 141234431313213