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4021232144100 = 22352171448954419
BaseRepresentation
bin111010100001000100000…
…111010000111011100100
3112020102111120201101010120
4322201010013100323210
51011340440412102400
612315154544321540
7563344611153633
oct72410407207344
915212446641116
104021232144100
1113104387917a6
1254b4126132b0
1323227b840702
14dc8b312151a
156e904eb0ca0
hex3a8441d0ee4

4021232144100 has 144 divisors (see below), whose sum is σ = 12320239579200. Its totient is φ = 1009162219520.

The previous prime is 4021232144093. The next prime is 4021232144141. The reversal of 4021232144100 is 14412321204.

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, 73866691 + ... + 73921109.

It is an arithmetic number, because the mean of its divisors is an integer number (85557219300).

Almost surely, 24021232144100 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 4021232144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160119789600).

4021232144100 is an abundant number, since it is smaller than the sum of its proper divisors (8299007435100).

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

4021232144100 is a wasteful number, since it uses less digits than its factorization.

4021232144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68942 (or 68935 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4021232144100 its reverse (14412321204), we get a palindrome (4035644465304).

The spelling of 4021232144100 in words is "four trillion, twenty-one billion, two hundred thirty-two million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 14489 28978 43467 54419 57956 72445 86934 108838 144890 163257 173868 217335 217676 246313 272095 289780 326514 362225 434670 492626 544190 653028 724450 738939 816285 869340 925123 985252 1086675 1088380 1231565 1360475 1448900 1477878 1632570 1850246 2173350 2463130 2720950 2775369 2955756 3265140 3694695 3700492 4081425 4346700 4625615 4926260 5441900 5550738 6157825 7389390 8162850 9251230 11101476 12315650 13876845 14778780 16325700 18473475 18502460 23128075 24631300 27753690 36946950 46256150 55507380 69384225 73893900 92512300 138768450 277536900 788476891 1576953782 2365430673 3153907564 3942384455 4730861346 7884768910 9461722692 11827153365 13404107147 15769537820 19711922275 23654306730 26808214294 39423844550 40212321441 47308613460 53616428588 59135766825 67020535735 78847689100 80424642882 118271533650 134041071470 160849285764 201061607205 236543067300 268082142940 335102678675 402123214410 670205357350 804246428820 1005308036025 1340410714700 2010616072050 4021232144100