Search a number
-
+
204044412322000 = 24532917919653671
BaseRepresentation
bin101110011001001111001010…
…101101110000000011010000
3222202110110021220221110220101
4232121033022231300003100
5203221030424023301000
62001544413045422144
760656502515660155
oct5631171255600320
9882413256843811
10204044412322000
115a018827368868
121aa75210a0a954
1389b13c82c5593
143855b3353622c
15188c9e40a0e6a
hexb993cab700d0

204044412322000 has 160 divisors (see below), whose sum is σ = 513243852076800. Its totient is φ = 78363113024000.

The previous prime is 204044412321973. The next prime is 204044412322031. The reversal of 204044412322000 is 223214440402.

It is a self number, because there is not a number n which added to its sum of digits gives 204044412322000.

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, 555165 + ... + 20208835.

It is an arithmetic number, because the mean of its divisors is an integer number (3207774075480).

Almost surely, 2204044412322000 is an apocalyptic number.

204044412322000 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 204044412322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256621926038400).

204044412322000 is an abundant number, since it is smaller than the sum of its proper divisors (309199439754800).

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

204044412322000 is a wasteful number, since it uses less digits than its factorization.

204044412322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19653902 (or 19653886 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 204044412322000 its reverse (223214440402), we get a palindrome (204267626762402).

The spelling of 204044412322000 in words is "two hundred four trillion, forty-four billion, four hundred twelve million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 179 200 232 250 290 358 400 464 500 580 716 725 895 1000 1160 1432 1450 1790 2000 2320 2864 2900 3580 3625 4475 5191 5800 7160 7250 8950 10382 11600 14320 14500 17900 20764 22375 25955 29000 35800 41528 44750 51910 58000 71600 83056 89500 103820 129775 179000 207640 259550 358000 415280 519100 648875 1038200 1297750 2076400 2595500 5191000 10382000 19653671 39307342 78614684 98268355 157229368 196536710 314458736 393073420 491341775 569956459 786146840 982683550 1139912918 1572293680 1965367100 2279825836 2456708875 2849782295 3518007109 3930734200 4559651672 4913417750 5699564590 7036014218 7861468400 9119303344 9826835500 11399129180 14072028436 14248911475 17590035545 19653671000 22798258360 28144056872 28497822950 35180071090 39307342000 45596516720 56288113744 56995645900 70360142180 71244557375 87950177725 102022206161 113991291800 140720284360 142489114750 175900355450 204044412322 227982583600 281440568720 284978229500 351800710900 408088824644 439750888625 510111030805 569956459000 703601421800 816177649288 879501777250 1020222061610 1139912918000 1407202843600 1632355298576 1759003554500 2040444123220 2550555154025 3518007109000 4080888246440 5101110308050 7036014218000 8161776492880 10202220616100 12752775770125 20404441232200 25505551540250 40808882464400 51011103080500 102022206161000 204044412322000