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204301230202144 = 25473173701115783
BaseRepresentation
bin101110011100111110010110…
…010000001101110100100000
3222210101000012000002112100001
4232130332112100031310200
5203234232404412432034
62002302404532105344
761014163636641415
oct5634762620156440
9883330160075301
10204301230202144
115a1077353662a9
121aab6b44765254
1389cc6a5a2367a
14386433761810c
15189452570ca14
hexb9cf9640dd20

204301230202144 has 96 divisors (see below), whose sum is σ = 412186601304576. Its totient is φ = 99634023398400.

The previous prime is 204301230202127. The next prime is 204301230202171. The reversal of 204301230202144 is 441202032103402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764460477 + ... + 1764576259.

It is an arithmetic number, because the mean of its divisors is an integer number (4293610430256).

Almost surely, 2204301230202144 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 204301230202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206093300652288).

204301230202144 is an abundant number, since it is smaller than the sum of its proper divisors (207885371102432).

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

204301230202144 is a wasteful number, since it uses less digits than its factorization.

204301230202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119858 (or 119850 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 204301230202144 its reverse (441202032103402), we get a palindrome (645503262305546).

The spelling of 204301230202144 in words is "two hundred four trillion, three hundred one billion, two hundred thirty million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 94 188 317 376 634 752 1268 1504 2536 3701 5072 7402 10144 14804 14899 29608 29798 59216 59596 115783 118432 119192 173947 231566 238384 347894 463132 476768 695788 926264 1173217 1391576 1852528 2346434 2783152 3705056 4692868 5441801 5566304 9385736 10883602 18771472 21767204 36703211 37542944 43534408 55141199 73406422 87068816 110282398 146812844 174137632 220564796 293625688 428512883 441129592 587251376 857025766 882259184 1174502752 1714051532 1725050917 1764518368 3428103064 3450101834 6856206128 6900203668 13712412256 13800407336 20140105501 27600814672 40280211002 55201629344 80560422004 135838583911 161120844008 271677167822 322241688016 543354335644 644483376032 1086708671288 2173417342576 4346834685152 6384413443817 12768826887634 25537653775268 51075307550536 102150615101072 204301230202144