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204440120340 = 223583285714369
BaseRepresentation
bin1011111001100110010…
…1001010110000010100
3201112200210011011112220
42332121211022300110
511322143132322330
6233530221142340
720525134231161
oct2763145126024
9645623134486
10204440120340
1179780133345
12337566ba9b0
131638118b711
149c75a81068
1554b8185710
hex2f9994ac14

204440120340 has 96 divisors (see below), whose sum is σ = 579572219520. Its totient is φ = 53837930496.

The previous prime is 204440120323. The next prime is 204440120369. The reversal of 204440120340 is 43021044402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 204440120340.

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, 14220676 + ... + 14235044.

It is an arithmetic number, because the mean of its divisors is an integer number (6037210620).

Almost surely, 2204440120340 is an apocalyptic number.

204440120340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204440120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289786109760).

204440120340 is an abundant number, since it is smaller than the sum of its proper divisors (375132099180).

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

204440120340 is a wasteful number, since it uses less digits than its factorization.

204440120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17321 (or 17319 counting only the distinct ones).

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

Adding to 204440120340 its reverse (43021044402), we get a palindrome (247461164742).

The spelling of 204440120340 in words is "two hundred four billion, four hundred forty million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 2857 4980 5714 8571 11428 14285 14369 17142 28570 28738 34284 42855 43107 57140 57476 71845 85710 86214 143690 171420 172428 215535 237131 287380 431070 474262 711393 862140 948524 1185655 1192627 1422786 2371310 2385254 2845572 3556965 3577881 4742620 4770508 5963135 7113930 7155762 11926270 14227860 14311524 17889405 23852540 35778810 41052233 71557620 82104466 123156699 164208932 205261165 246313398 410522330 492626796 615783495 821044660 1231566990 2463133980 3407335339 6814670678 10222006017 13629341356 17036676695 20444012034 34073353390 40888024068 51110030085 68146706780 102220060170 204440120340