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404121432134300 = 225219894080158573
BaseRepresentation
bin101101111100010111101101…
…0011010001001001010011100
31221222212122001102221101111112
41123320233122122021022130
5410432111143111244200
63551254453433041152
7151056544551021506
oct13370573232111234
91858778042841445
10404121432134300
11107846a3401a051
12393a9535b561b8
131446564515089a
1471b18201a8d76
1531ac1d4b80535
hex16f8bda68929c

404121432134300 has 144 divisors (see below), whose sum is σ = 933509137528800. Its totient is φ = 151413774336000.

The previous prime is 404121432134297. The next prime is 404121432134311. The reversal of 404121432134300 is 3431234121404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6899419814 + ... + 6899478386.

It is an arithmetic number, because the mean of its divisors is an integer number (6482702343950).

Almost surely, 2404121432134300 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 404121432134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466754568764400).

404121432134300 is an abundant number, since it is smaller than the sum of its proper divisors (529387705394500).

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

404121432134300 is a wasteful number, since it uses less digits than its factorization.

404121432134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99496 (or 99489 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 404121432134300 its reverse (3431234121404), we get a palindrome (407552666255704).

The spelling of 404121432134300 in words is "four hundred four trillion, one hundred twenty-one billion, four hundred thirty-two million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 89 95 100 178 190 356 380 445 475 890 950 1691 1780 1900 2225 3382 4450 6764 8455 8900 16910 33820 40801 42275 58573 81602 84550 117146 163204 169100 204005 234292 292865 408010 585730 775219 816020 1020025 1112887 1171460 1464325 1550438 2040050 2225774 2928650 3100876 3631289 3876095 4080100 4451548 5212997 5564435 5857300 7262578 7752190 10425994 11128870 14525156 15504380 18156445 19380475 20851988 22257740 26064985 27822175 36312890 38760950 52129970 55644350 68994491 72625780 77521900 90782225 99046943 104259940 111288700 130324925 137988982 181564450 198093886 260649850 275977964 344972455 363128900 396187772 495234715 521299700 689944910 990469430 1379889820 1724862275 1980938860 2389836973 2476173575 3449724550 4779673946 4952347150 6899449100 9559347892 9904694300 11949184865 23898369730 45406902487 47796739460 59745924325 90813804974 119491848650 181627609948 212695490597 227034512435 238983697300 425390981194 454069024870 850781962388 908138049740 1063477452985 1135172562175 2126954905970 2270345124350 4041214321343 4253909811940 4540690248700 5317387264925 8082428642686 10634774529850 16164857285372 20206071606715 21269549059700 40412143213430 80824286426860 101030358033575 202060716067150 404121432134300