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200440320012 = 2236251273857
BaseRepresentation
bin1011101010101100101…
…1001001000000001100
3201011101000211021000000
42322223023021000030
511241000210220022
6232025255404300
720324045415552
oct2725313110014
9634330737000
10200440320012
1178008376139
1232a1b083690
1315b94609b6a
1499b677dbd2
155331e4e6ac
hex2eab2c900c

200440320012 has 84 divisors (see below), whose sum is σ = 528012464616. Its totient is φ = 66547008000.

The previous prime is 200440319993. The next prime is 200440320019. The reversal of 200440320012 is 210023044002.

200440320012 is a `hidden beast` number, since 20 + 0 + 440 + 3 + 200 + 1 + 2 = 666.

It is a super-3 number, since 3×2004403200123 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200440320019) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 594988 + ... + 868844.

It is an arithmetic number, because the mean of its divisors is an integer number (6285862674).

Almost surely, 2200440320012 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 200440320012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264006232308).

200440320012 is an abundant number, since it is smaller than the sum of its proper divisors (327572144604).

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

200440320012 is a wasteful number, since it uses less digits than its factorization.

200440320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274130 (or 274113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200440320012 its reverse (210023044002), we get a palindrome (410463364014).

The spelling of 200440320012 in words is "two hundred billion, four hundred forty million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 251 324 486 502 729 753 972 1004 1458 1506 2259 2916 3012 4518 6777 9036 13554 20331 27108 40662 60993 81324 121986 182979 243972 273857 365958 547714 731916 821571 1095428 1643142 2464713 3286284 4929426 7394139 9858852 14788278 22182417 29576556 44364834 66547251 68738107 88729668 133094502 137476214 199641753 206214321 266189004 274952428 399283506 412428642 618642963 798567012 824857284 1237285926 1855928889 2474571852 3711857778 5567786667 7423715556 11135573334 16703360001 22271146668 33406720002 50110080003 66813440004 100220160006 200440320012