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4004042220192 = 25375999947239
BaseRepresentation
bin111010010001000011100…
…000111010001010100000
3112011210010120211202121010
4322101003200322022200
51011100234302021232
612303233120500520
7562165620212460
oct72210340721240
915153116752533
104004042220192
1113041174a2513
1254801577a740
1323076c3b03c1
14dbb22123ba0
156e24acc00cc
hex3a44383a2a0

4004042220192 has 96 divisors (see below), whose sum is σ = 12032181504000. Its totient is φ = 1142102078208.

The previous prime is 4004042220187. The next prime is 4004042220257. The reversal of 4004042220192 is 2910222404004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×40040422201922 (a number of 26 digits) contains 22 as substring.

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, 4571092 + ... + 5376147.

It is an arithmetic number, because the mean of its divisors is an integer number (125335224000).

Almost surely, 24004042220192 is an apocalyptic number.

4004042220192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4004042220192 is an abundant number, since it is smaller than the sum of its proper divisors (8028139283808).

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

4004042220192 is a wasteful number, since it uses less digits than its factorization.

4004042220192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947858 (or 9947850 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 4004042220192 its reverse (2910222404004), we get a palindrome (6914264624196).

The spelling of 4004042220192 in words is "four trillion, four billion, forty-two million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 599 672 1198 1797 2396 3594 4193 4792 7188 8386 9584 12579 14376 16772 19168 25158 28752 33544 50316 57504 67088 100632 134176 201264 402528 9947239 19894478 29841717 39788956 59683434 69630673 79577912 119366868 139261346 159155824 208892019 238733736 278522692 318311648 417784038 477467472 557045384 835568076 954934944 1114090768 1671136152 2228181536 3342272304 5958396161 6684544608 11916792322 17875188483 23833584644 35750376966 41708773127 47667169288 71500753932 83417546254 95334338576 125126319381 143001507864 166835092508 190668677152 250252638762 286003015728 333670185016 500505277524 572006031456 667340370032 1001010555048 1334680740064 2002021110096 4004042220192