Search a number
-
+
204421433444140 = 2251111813167248431
BaseRepresentation
bin101110011110101110010010…
…111011001100011100101100
3222210210111110011200220102211
4232132232102323030130230
5203243220043430203030
62002433524324500204
761025650454433163
oct5636562273143454
9883714404626384
10204421433444140
115a153708a18110
121ab162b054a664
138a0ab2105b873
14386a09b9483da
15189770d45d12a
hexb9eb92ecc72c

204421433444140 has 96 divisors (see below), whose sum is σ = 468857342435328. Its totient is φ = 74248373472000.

The previous prime is 204421433444117. The next prime is 204421433444141. The reversal of 204421433444140 is 41444334124402.

It is a junction number, because it is equal to n+sod(n) for n = 204421433444093 and 204421433444102.

It is not an unprimeable number, because it can be changed into a prime (204421433444141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822725725 + ... + 822974155.

It is an arithmetic number, because the mean of its divisors is an integer number (4883930650368).

Almost surely, 2204421433444140 is an apocalyptic number.

204421433444140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204421433444140 is an abundant number, since it is smaller than the sum of its proper divisors (264435908991188).

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

204421433444140 is a wasteful number, since it uses less digits than its factorization.

204421433444140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252799 (or 252797 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 204421433444140 its reverse (41444334124402), we get a palindrome (245865767568542).

The spelling of 204421433444140 in words is "two hundred four trillion, four hundred twenty-one billion, four hundred thirty-three million, four hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1181 2362 3167 4724 5905 6334 11810 12668 12991 15835 23620 25982 31670 34837 51964 63340 64955 69674 129910 139348 174185 248431 259820 348370 496862 696740 993724 1242155 2484310 2732741 3740227 4968620 5465482 7480454 10930964 13663705 14960908 18701135 27327410 37402270 41142497 54654820 74804540 82284994 164569988 205712485 293397011 411424970 586794022 786780977 822849940 1173588044 1466985055 1573561954 2933970110 3147123908 3227367121 3933904885 5867940220 6454734242 7867809770 8654590747 12909468484 15735619540 16136835605 17309181494 32273671210 34618362988 43272953735 64547342420 86545907470 173091814940 929188333837 1858376667674 3716753335348 4645941669185 9291883338370 10221071672207 18583766676740 20442143344414 40884286688828 51105358361035 102210716722070 204421433444140