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204430240014 = 237111337919937
BaseRepresentation
bin1011111001100011111…
…1011110100100001110
3201112200002120012021220
42332120333132210032
511322133120140024
6233525225304210
720524654240440
oct2763077364416
9645602505256
10204430240014
11797755a5090
1233753335066
131637c10c480
149c7462c490
1554b7382e79
hex2f98fde90e

204430240014 has 128 divisors (see below), whose sum is σ = 563796882432. Its totient is φ = 47689482240.

The previous prime is 204430240013. The next prime is 204430240019. The reversal of 204430240014 is 410042034402.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204430240013) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 237747 + ... + 682190.

It is an arithmetic number, because the mean of its divisors is an integer number (4404663144).

Almost surely, 2204430240014 is an apocalyptic number.

204430240014 is an abundant number, since it is smaller than the sum of its proper divisors (359366642418).

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

204430240014 is a wasteful number, since it uses less digits than its factorization.

204430240014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920010.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204430240014 its reverse (410042034402), we get a palindrome (614472274416).

It can be divided in two parts, 204430 and 240014, that added together give a palindrome (444444).

The spelling of 204430240014 in words is "two hundred four billion, four hundred thirty million, two hundred forty thousand, fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 919937 1839874 2759811 5519622 6439559 10119307 11959181 12879118 19318677 20238614 23918362 30357921 34037669 35877543 38637354 60715842 68075338 70835149 71755086 83714267 102113007 131550991 141670298 167428534 204226014 212505447 238263683 251142801 263101982 374414359 394652973 425010894 442489697 476527366 502285602 714791049 748828718 789305946 884979394 920856937 1123243077 1327469091 1429582098 1841713874 2246486154 2620900513 2654938182 2762570811 3097427879 4867386667 5241801026 5525141622 6194855758 7862701539 9292283637 9734773334 14602160001 15725403078 18584567274 29204320002 34071706669 68143413338 102215120007 204430240014