Search a number
-
+
30112320300144 = 24317431597537379
BaseRepresentation
bin1101101100011000100100…
…01001111010010001110000
310221121201011101011012021120
412312030102021322101300
512421330012444101034
6144013224201022240
76225354240240135
oct666142211722160
9127551141135246
1030112320300144
11965a621867a95
123463b77184980
1313a576c56b204
147616307a458c
15373455952c49
hex1b631227a470

30112320300144 has 160 divisors (see below), whose sum is σ = 84334474033920. Its totient is φ = 9221509656576.

The previous prime is 30112320300133. The next prime is 30112320300191. The reversal of 30112320300144 is 44100302321103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55766847 + ... + 56304225.

It is an arithmetic number, because the mean of its divisors is an integer number (527090462712).

Almost surely, 230112320300144 is an apocalyptic number.

30112320300144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30112320300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42167237016960).

30112320300144 is an abundant number, since it is smaller than the sum of its proper divisors (54222153733776).

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

30112320300144 is a wasteful number, since it uses less digits than its factorization.

30112320300144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539047 (or 539041 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 30112320300144 its reverse (44100302321103), we get a palindrome (74212622621247).

The spelling of 30112320300144 in words is "thirty trillion, one hundred twelve billion, three hundred twenty million, three hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 816 1032 1462 1597 2064 2193 2924 3194 4386 4791 5848 6388 8772 9582 11696 12776 17544 19164 25552 27149 35088 38328 54298 68671 76656 81447 108596 137342 162894 206013 217192 274684 325788 412026 434384 537379 549368 651576 824052 1074758 1098736 1167407 1303152 1612137 1648104 2149516 2334814 3224274 3296208 3502221 4299032 4669628 6448548 7004442 8598064 9135443 9339256 12897096 14008884 18270886 18678512 23107297 25794192 27406329 28017768 36541772 46214594 54812658 56035536 69321891 73083544 92429188 109625316 138643782 146167088 184858376 219250632 277287564 369716752 392824049 438501264 554575128 785648098 858194263 1109150256 1178472147 1571296196 1716388526 2356944294 2574582789 3142592392 3432777052 4713888588 5149165578 6285184784 6865554104 9427777176 10298331156 13731108208 14589302471 18855554352 20596662312 29178604942 36902353309 41193324624 43767907413 58357209884 73804706618 87535814826 110707059927 116714419768 147609413236 175071629652 221414119854 233428839536 295218826472 350143259304 442828239708 590437652944 627340006253 700286518608 885656479416 1254680012506 1771312958832 1882020018759 2509360025012 3764040037518 5018720050024 7528080075036 10037440100048 15056160150072 30112320300144