Search a number
-
+
144120143040030 = 232533116272973491
BaseRepresentation
bin100000110001001110010101…
…111011100100111000011110
3200220021202021120021001001200
4200301032111323210320132
5122342231023104240110
61230303514003220330
742233223332216013
oct4061162573447036
9626252246231050
10144120143040030
1141a150115a6033
12141b75483776a6
136255618226461
14278364896970a
15119dd67ca46c0
hex831395ee4e1e

144120143040030 has 96 divisors (see below), whose sum is σ = 376075564495488. Its totient is φ = 38292366340800.

The previous prime is 144120143039989. The next prime is 144120143040089. The reversal of 144120143040030 is 30040341021441.

144120143040030 is a `hidden beast` number, since 1 + 44 + 120 + 1 + 430 + 40 + 0 + 30 = 666.

144120143040030 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144120143039976 and 144120143040003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46981585 + ... + 49955075.

It is an arithmetic number, because the mean of its divisors is an integer number (3917453796828).

Almost surely, 2144120143040030 is an apocalyptic number.

144120143040030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144120143040030 is an abundant number, since it is smaller than the sum of its proper divisors (231955421455458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144120143040030 is a wasteful number, since it uses less digits than its factorization.

144120143040030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975462 (or 2975459 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144120143040030 its reverse (30040341021441), we get a palindrome (174160484061471).

The spelling of 144120143040030 in words is "one hundred forty-four trillion, one hundred twenty billion, one hundred forty-three million, forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 331 662 993 1627 1655 1986 2979 3254 3310 4881 4965 5958 8135 9762 9930 14643 14895 16270 24405 29286 29790 48810 73215 146430 538537 1077074 1615611 2692685 2973491 3231222 4846833 5385370 5946982 8078055 8920473 9693666 14867455 16156110 17840946 24234165 26761419 29734910 44602365 48468330 53522838 89204730 133807095 267614190 984225521 1968451042 2952676563 4837869857 4921127605 5905353126 8858029689 9675739714 9842255210 14513609571 14763382815 17716059378 24189349285 29027219142 29526765630 43540828713 44290148445 48378698570 72568047855 87081657426 88580296890 145136095710 217704143565 435408287130 1601334922667 3202669845334 4804004768001 8006674613335 9608009536002 14412014304003 16013349226670 24020023840005 28824028608006 48040047680010 72060071520015 144120143040030