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114303144141 = 33295319913841
BaseRepresentation
bin110101001110011111…
…1111001000011001101
3101221000222112100102000
41222130333321003031
53333043101103031
6124302105022513
711154352460124
oct1523477710315
9357028470360
10114303144141
1144526165a8a
121a19ba84a39
13aa17b7a544
1457648c8abb
152e8ec9d3e6
hex1a9cff90cd

114303144141 has 64 divisors (see below), whose sum is σ = 179392320000. Its totient is φ = 71818306560.

The previous prime is 114303144061. The next prime is 114303144143. The reversal of 114303144141 is 141441303411.

It is not a de Polignac number, because 114303144141 - 219 = 114302619853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114303144143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8251381 + ... + 8265221.

It is an arithmetic number, because the mean of its divisors is an integer number (2803005000).

Almost surely, 2114303144141 is an apocalyptic number.

It is an amenable number.

114303144141 is a deficient number, since it is larger than the sum of its proper divisors (65089175859).

114303144141 is a wasteful number, since it uses less digits than its factorization.

114303144141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14131 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 114303144141 its reverse (141441303411), we get a palindrome (255744447552).

The spelling of 114303144141 in words is "one hundred fourteen billion, three hundred three million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 27 29 53 87 159 199 261 477 597 783 1431 1537 1791 4611 5373 5771 10547 13833 13841 17313 31641 41499 41523 51939 94923 124569 155817 284769 305863 373707 401389 733573 917589 1204167 2200719 2752767 2754359 3612501 6602157 8258301 8263077 10837503 19806471 21273617 24789231 63820851 74367693 79876411 145981027 191462553 239629233 437943081 574387659 718887699 1313829243 2156663097 3941487729 4233449783 12700349349 38101048047 114303144141