Search a number
-
+
204310120430040 = 233519228613919763
BaseRepresentation
bin101110011101000110101000…
…001001101111100111011000
3222210101212010120121220022220
4232131012220021233213120
5203234404111312230130
62002310435032344040
761014630150430242
oct5635065011574730
9883355116556286
10204310120430040
115a1104876a1089
121aab8805b45020
138a0049181b251
14386493c217092
151894895e54410
hexb9d1a826f9d8

204310120430040 has 128 divisors (see below), whose sum is σ = 645218240889600. Its totient is φ = 51612917368320.

The previous prime is 204310120430011. The next prime is 204310120430041. The reversal of 204310120430040 is 40034021013402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204310120430041) 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, 50163199 + ... + 54082961.

It is an arithmetic number, because the mean of its divisors is an integer number (5040767506950).

Almost surely, 2204310120430040 is an apocalyptic number.

204310120430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204310120430040 is an abundant number, since it is smaller than the sum of its proper divisors (440908120459560).

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

204310120430040 is a wasteful number, since it uses less digits than its factorization.

204310120430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942657 (or 3942653 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 204310120430040 its reverse (40034021013402), we get a palindrome (244344141443442).

The spelling of 204310120430040 in words is "two hundred four trillion, three hundred ten billion, one hundred twenty million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 22861 45722 68583 91444 114305 137166 182888 228610 274332 342915 434359 457220 548664 685830 868718 914440 1303077 1371660 1737436 2171795 2606154 2743320 3474872 3919763 4343590 5212308 6515385 7839526 8687180 10424616 11759289 13030770 15679052 17374360 19598815 23518578 26061540 31358104 39197630 47037156 52123080 58796445 74475497 78395260 94074312 117592890 148950994 156790520 223426491 235185780 297901988 372377485 446852982 470371560 595803976 744754970 893705964 1117132455 1489509940 1787411928 2234264910 2979019880 4468529820 8937059640 89609701943 179219403886 268829105829 358438807772 448048509715 537658211658 716877615544 896097019430 1075316423316 1344145529145 1702584336917 1792194038860 2150632846632 2688291058290 3405168673834 3584388077720 5107753010751 5376582116580 6810337347668 8512921684585 10215506021502 10753164233160 13620674695336 17025843369170 20431012043004 25538765053755 34051686738340 40862024086008 51077530107510 68103373476680 102155060215020 204310120430040