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114101230304000 = 285322031618549
BaseRepresentation
bin11001111100011001000011…
…010011001111101100000000
3112221222222012220220202002202
4121330121003103033230000
5104423413304424212000
61042401214230332332
733014353566102422
oct3174310323175400
9487888186822082
10114101230304000
11333a1072991525
12109696bb1ba0a8
134b88913751254
14202675987c812
15d2d07c92bdd5
hex67c6434cfb00

114101230304000 has 144 divisors (see below), whose sum is σ = 284369627287200. Its totient is φ = 45619746508800.

The previous prime is 114101230303999. The next prime is 114101230304011. The reversal of 114101230304000 is 403032101411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69686726 + ... + 71305274.

Almost surely, 2114101230304000 is an apocalyptic number.

114101230304000 is a gapful number since it is divisible by the number (10) 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 114101230304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142184813643600).

114101230304000 is an abundant number, since it is smaller than the sum of its proper divisors (170268396983200).

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

114101230304000 is an equidigital number, since it uses as much as digits as its factorization.

114101230304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620783 (or 1620759 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 114101230304000 its reverse (403032101411), we get a palindrome (114504262405411).

The spelling of 114101230304000 in words is "one hundred fourteen trillion, one hundred one billion, two hundred thirty million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 2203 3200 4000 4406 6400 8000 8812 11015 16000 17624 22030 32000 35248 44060 55075 70496 88120 110150 140992 176240 220300 275375 281984 352480 440600 550750 563968 704960 881200 1101500 1409920 1618549 1762400 2203000 2819840 3237098 3524800 4406000 6474196 7049600 8092745 8812000 12948392 14099200 16185490 17624000 25896784 32370980 35248000 40463725 51793568 64741960 70496000 80927450 103587136 129483920 161854900 202318625 207174272 258967840 323709800 404637250 414348544 517935680 647419600 809274500 1035871360 1294839200 1618549000 2071742720 2589678400 3237098000 3565663447 5179356800 6474196000 7131326894 10358713600 12948392000 14262653788 17828317235 25896784000 28525307576 35656634470 51793568000 57050615152 71313268940 89141586175 114101230304 142626537880 178283172350 228202460608 285253075760 356566344700 445707930875 456404921216 570506151520 713132689400 891415861750 912809842432 1141012303040 1426265378800 1782831723500 2282024606080 2852530757600 3565663447000 4564049212160 5705061515200 7131326894000 11410123030400 14262653788000 22820246060800 28525307576000 57050615152000 114101230304000