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109914423744064 = 26472278832
BaseRepresentation
bin11000111111011101110010…
…001011101101011001000000
3112102011201100011201120000111
4120333131302023231121000
5103401314214434302224
61025433553355401104
732103024612403162
oct3077356213553100
9472151304646014
10109914423744064
1132027499816535
12103b219a153194
134943b68b06824
141d1dc5a77c932
15ca91d690ed94
hex63f7722ed640

109914423744064 has 63 divisors (see below), whose sum is σ = 222858833715147. Its totient is φ = 53785980434304.

The previous prime is 109914423744061. The next prime is 109914423744199. The reversal of 109914423744064 is 460447324419901.

The square root of 109914423744064 is 10484008.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109914423744061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3941973067 + ... + 3942000949.

Almost surely, 2109914423744064 is an apocalyptic number.

109914423744064 is the 10484008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109914423744064

109914423744064 is an abundant number, since it is smaller than the sum of its proper divisors (112944409971083).

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

109914423744064 is an frugal number, since it uses more digits than its factorization.

109914423744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55872 (or 27932 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 109914423744064 in words is "one hundred nine trillion, nine hundred fourteen billion, four hundred twenty-three million, seven hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2209 3008 4418 8836 17672 27883 35344 55766 70688 111532 141376 223064 446128 892256 1310501 1784512 2621002 5242004 10484008 20968016 41936032 61593547 83872064 123187094 246374188 492748376 777461689 985496752 1554923378 1970993504 3109846756 3941987008 6219693512 12439387024 24878774048 36540699383 49757548096 73081398766 146162797532 292325595064 584651190128 1169302380256 1717412871001 2338604760512 3434825742002 6869651484004 13739302968008 27478605936016 54957211872032 109914423744064