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30244214420304 = 2434389463935491
BaseRepresentation
bin1101110000001110001111…
…01010000011001101010000
310222002022121022012201021220
412320013013222003031100
512431010122342422204
6144154000021445040
76241033553614533
oct670070752031520
9128068538181256
1030244214420304
119700554636685
123485646270780
1313b502b9981b1
14767b83646a1a
15376ac4c121d9
hex1b81c7a83350

30244214420304 has 160 divisors (see below), whose sum is σ = 80865881395200. Its totient is φ = 9733940536320.

The previous prime is 30244214420237. The next prime is 30244214420327. The reversal of 30244214420304 is 40302441244203.

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, 852147999 + ... + 852183489.

It is an arithmetic number, because the mean of its divisors is an integer number (505411758720).

Almost surely, 230244214420304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30244214420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40432940697600).

30244214420304 is an abundant number, since it is smaller than the sum of its proper divisors (50621666974896).

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

30244214420304 is a wasteful number, since it uses less digits than its factorization.

30244214420304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40273 (or 40267 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 30244214420304 its reverse (40302441244203), we get a palindrome (70546655664507).

The spelling of 30244214420304 in words is "thirty trillion, two hundred forty-four billion, two hundred fourteen million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 89 129 172 178 258 267 344 356 516 534 688 712 1032 1068 1424 2064 2136 3827 4272 4639 7654 9278 11481 13917 15308 18556 22962 27834 30616 35491 37112 45924 55668 61232 70982 74224 91848 106473 111336 141964 183696 199477 212946 222672 283928 398954 412871 425892 567856 598431 797908 825742 851784 1196862 1238613 1526113 1595816 1651484 1703568 2393724 2477226 3052226 3158699 3191632 3302968 4578339 4787448 4954452 6104452 6317398 6605936 9156678 9476097 9574896 9908904 12208904 12634796 17753453 18313356 18952194 19817808 24417808 25269592 35506906 36626712 37904388 50539184 53260359 71013812 73253424 75808776 106520718 135824057 142027624 151617552 164642749 213041436 271648114 284055248 329285498 407472171 426082872 493928247 543296228 658570996 814944342 852165744 987856494 1086592456 1317141992 1629888684 1975712988 2173184912 2634283984 3259777368 3951425976 6519554736 7079638207 7902851952 14159276414 14653204661 21238914621 28318552828 29306409322 42477829242 43959613983 56637105656 58612818644 84955658484 87919227966 113274211312 117225637288 169911316968 175838455932 234451274576 339822633936 351676911864 630087800423 703353823728 1260175600846 1890263401269 2520351201692 3780526802538 5040702403384 7561053605076 10081404806768 15122107210152 30244214420304