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440214141234144 = 25338311972751883
BaseRepresentation
bin110010000010111110101011…
…1100000110110101111100000
32010201200001122101200221100110
41210011331113200312233200
5430144432030123443034
64200131330141051320
7161503264540322064
oct14405752740665740
92121601571627313
10440214141234144
111182a1850405432
1241458549256b40
1315b83027a93544
147a9c699d63aa4
1535d5ea79eede9
hex1905f57836be0

440214141234144 has 48 divisors (see below), whose sum is σ = 1158579254310912. Its totient is φ = 146354919005568.

The previous prime is 440214141234143. The next prime is 440214141234181. The reversal of 440214141234144 is 441432141412044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440214141234143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5986339174 + ... + 5986412709.

It is an arithmetic number, because the mean of its divisors is an integer number (24137067798144).

Almost surely, 2440214141234144 is an apocalyptic number.

It is an amenable number.

440214141234144 is an abundant number, since it is smaller than the sum of its proper divisors (718365113076768).

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

440214141234144 is a wasteful number, since it uses less digits than its factorization.

440214141234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972752279 (or 11972752271 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 39.

Adding to 440214141234144 its reverse (441432141412044), we get a palindrome (881646282646188).

The spelling of 440214141234144 in words is "four hundred forty trillion, two hundred fourteen billion, one hundred forty-one million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 383 766 1149 1532 2298 3064 4596 6128 9192 12256 18384 36768 11972751883 23945503766 35918255649 47891007532 71836511298 95782015064 143673022596 191564030128 287346045192 383128060256 574692090384 1149384180768 4585563971189 9171127942378 13756691913567 18342255884756 27513383827134 36684511769512 55026767654268 73369023539024 110053535308536 146738047078048 220107070617072 440214141234144