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30230400042 = 233171271991303
BaseRepresentation
bin11100001001110111…
…110100110000101010
32220000210211102211000
4130021313310300222
5443402440300132
621515422215430
72120065106043
oct341167646052
986023742730
1030230400042
11119032aaa97
125a38124576
132b0a03449b
14166aca18ca
15bbde8a87c
hex709df4c2a

30230400042 has 128 divisors (see below), whose sum is σ = 72105984000. Its totient is φ = 9354901248.

The previous prime is 30230400029. The next prime is 30230400049. The reversal of 30230400042 is 24000403203.

30230400042 is a `hidden beast` number, since 30 + 230 + 400 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30230399988 and 30230400024.

It is not an unprimeable number, because it can be changed into a prime (30230400049) 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, 23199963 + ... + 23201265.

It is an arithmetic number, because the mean of its divisors is an integer number (563328000).

Almost surely, 230230400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30230400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36052992000).

30230400042 is an abundant number, since it is smaller than the sum of its proper divisors (41875583958).

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

30230400042 is a wasteful number, since it uses less digits than its factorization.

30230400042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 30230400042 its reverse (24000403203), we get a palindrome (54230803245).

The spelling of 30230400042 in words is "thirty billion, two hundred thirty million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 127 153 199 254 306 381 398 459 597 762 918 1143 1194 1303 1791 2159 2286 2606 3383 3429 3582 3909 4318 5373 6477 6766 6858 7818 10149 10746 11727 12954 19431 20298 22151 23454 25273 30447 35181 38862 44302 50546 58293 60894 66453 70362 75819 91341 116586 132906 151638 165481 182682 199359 227457 259297 330962 398718 429641 454914 496443 518594 598077 682371 777891 859282 992886 1196154 1288923 1364742 1489329 1555782 2333673 2577846 2813177 2978658 3866769 4408049 4467987 4667346 5626354 7001019 7733538 8439531 8816098 8935974 11600307 13224147 14002038 16879062 23200614 25318593 26448294 32930719 39672441 50637186 65861438 75955779 79344882 98792157 119017323 151911558 197584314 238034646 296376471 559822223 592752942 889129413 1119644446 1679466669 1778258826 3358933338 5038400007 10076800014 15115200021 30230400042