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30204123403314 = 23729263331928409
BaseRepresentation
bin1101101111000011100100…
…00010111101010000110010
310221221111010021220000221210
412313201302002331100302
512424331021042401224
6144123325512100550
76235114222604220
oct667416202752062
9127844107800853
1030204123403314
119695551272193
123479917994756
1313b130cac8b33
14765c5cd45b10
15375a2a24c429
hex1b78720bd432

30204123403314 has 128 divisors (see below), whose sum is σ = 71714294784000. Its totient is φ = 8297697719808.

The previous prime is 30204123403213. The next prime is 30204123403327. The reversal of 30204123403314 is 41330432140203.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063174342 + ... + 1063202750.

It is an arithmetic number, because the mean of its divisors is an integer number (560267928000).

Almost surely, 230204123403314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30204123403314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35857147392000).

30204123403314 is an abundant number, since it is smaller than the sum of its proper divisors (41510171380686).

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

30204123403314 is a wasteful number, since it uses less digits than its factorization.

30204123403314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32032.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 30204123403314 its reverse (41330432140203), we get a palindrome (71534555543517).

The spelling of 30204123403314 in words is "thirty trillion, two hundred four billion, one hundred twenty-three million, four hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 263 406 526 609 789 1218 1578 1841 3319 3682 5523 6638 7627 9957 11046 15254 19914 22881 23233 28409 45762 46466 53389 56818 69699 85227 96251 106778 139398 160167 170454 192502 198863 288753 320334 397726 577506 596589 673757 823861 872897 1193178 1347514 1647722 1745794 2021271 2471583 2618691 4042542 4943166 5237382 5767027 6110279 7471567 11534054 12220558 14943134 17301081 18330837 22414701 25314013 34602162 36661674 44829402 50628026 52300969 75942039 94289471 104601938 151884078 156902907 177198091 188578942 216675443 282868413 313805814 354396182 433350886 531594273 565736826 650026329 660026297 1063188546 1300052658 1320052594 1516728101 1980078891 2734394659 3033456202 3960157782 4550184303 5468789318 8203183977 9100368606 16406367954 19140762613 24798130873 38281525226 49596261746 57422287839 74394392619 114844575678 148788785238 173586916111 347173832222 520760748333 719145795317 1041521496666 1438291590634 2157437385951 4314874771902 5034020567219 10068041134438 15102061701657 30204123403314