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200012340431400 = 23352726803140831
BaseRepresentation
bin101101011110100100000000…
…100000001000101000101000
3222020011222210220022221000020
4231132210000200020220220
5202204000233122301100
61545220222315440440
760062262152253600
oct5536440040105050
9866158726287006
10200012340431400
1158803836954092
121a523894156120
13877b10cb094b3
14375691293bc00
15181cba76585a0
hexb5e900808a28

200012340431400 has 144 divisors (see below), whose sum is σ = 721268991008640. Its totient is φ = 45717106377600.

The previous prime is 200012340431399. The next prime is 200012340431413. The reversal of 200012340431400 is 4134043210002.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3401541016 + ... + 3401599815.

It is an arithmetic number, because the mean of its divisors is an integer number (5008812437560).

Almost surely, 2200012340431400 is an apocalyptic number.

200012340431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200012340431400 is an abundant number, since it is smaller than the sum of its proper divisors (521256650577240).

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

200012340431400 is a wasteful number, since it uses less digits than its factorization.

200012340431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803140864 (or 6803140848 counting only the distinct ones).

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

Adding to 200012340431400 its reverse (4134043210002), we get a palindrome (204146383641402).

The spelling of 200012340431400 in words is "two hundred trillion, twelve billion, three hundred forty million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 6803140831 13606281662 20409422493 27212563324 34015704155 40818844986 47621985817 54425126648 68031408310 81637689972 95243971634 102047112465 136062816620 142865957451 163275379944 170078520775 190487943268 204094224930 238109929085 272125633240 285731914902 333353900719 340157041550 380975886536 408188449860 476219858170 510235562325 571463829804 666707801438 680314083100 714329787255 816376899720 952439716340 1000061702157 1020471124650 1142927659608 1190549645425 1333415602876 1360628166200 1428659574510 1666769503595 1904879432680 2000123404314 2040942249300 2381099290850 2666831205752 2857319149020 3333539007190 3571648936275 4000246808628 4081884498600 4762198581700 5000308510785 5714638298040 6667078014380 7143297872550 8000493617256 8333847517975 9524397163400 10000617021570 13334156028760 14286595745100 16667695035950 20001234043140 25001542553925 28573191490200 33335390071900 40002468086280 50003085107850 66670780143800 100006170215700 200012340431400