Search a number
-
+
114730361541 = 32415916213251
BaseRepresentation
bin110101011011001110…
…1100110001011000101
3101222010202102020111200
41222312131212023011
53334431433032131
6124412325453113
711201060660655
oct1526635461305
9358122366450
10114730361541
1144725330814
121a29ab71199
13aa8552b3c3
1457a5536365
152eb753b2e6
hex1ab67662c5

114730361541 has 48 divisors (see below), whose sum is σ = 172800613440. Its totient is φ = 73288800000.

The previous prime is 114730361533. The next prime is 114730361591. The reversal of 114730361541 is 145163037411.

114730361541 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 30 + 3 + 615 + 4 + 1 = 666.

It is not a de Polignac number, because 114730361541 - 23 = 114730361533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114730361496 and 114730361505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114730361591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35289166 + ... + 35292416.

It is an arithmetic number, because the mean of its divisors is an integer number (3600012780).

Almost surely, 2114730361541 is an apocalyptic number.

It is an amenable number.

114730361541 is a deficient number, since it is larger than the sum of its proper divisors (58070251899).

114730361541 is a wasteful number, since it uses less digits than its factorization.

114730361541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 114730361541 its reverse (145163037411), we get a palindrome (259893398952).

The spelling of 114730361541 in words is "one hundred fourteen billion, seven hundred thirty million, three hundred sixty-one thousand, five hundred forty-one".

Divisors: 1 3 9 41 59 123 177 369 531 1621 2419 3251 4863 7257 9753 14589 21771 29259 66461 95639 133291 191809 199383 286917 399873 575427 598149 860751 1199619 1726281 3921199 5269871 7864169 11763597 15809613 23592507 35290791 47428839 70777521 216064711 310922389 648194133 932767167 1944582399 2798301501 12747817949 38243453847 114730361541