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14100626640 = 243558752611
BaseRepresentation
bin11010010000111011…
…00111110011010000
31100101200211001101010
431020131213303100
5212334230023030
610251105210520
71006266230442
oct151035476320
940350731333
1014100626640
115a86488551
122896330a40
131439411979
1497a9cc492
15577dad6b0
hex348767cd0

14100626640 has 40 divisors (see below), whose sum is σ = 43711943328. Its totient is φ = 3760167040.

The previous prime is 14100626633. The next prime is 14100626641. The reversal of 14100626640 is 4662600141.

14100626640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14100626598 and 14100626607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14100626641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29376066 + ... + 29376545.

Almost surely, 214100626640 is an apocalyptic number.

14100626640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14100626640 is an abundant number, since it is smaller than the sum of its proper divisors (29611316688).

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

14100626640 is a wasteful number, since it uses less digits than its factorization.

14100626640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58752627 (or 58752621 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 14100626640 in words is "fourteen billion, one hundred million, six hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 58752611 117505222 176257833 235010444 293763055 352515666 470020888 587526110 705031332 881289165 940041776 1175052220 1410062664 1762578330 2350104440 2820125328 3525156660 4700208880 7050313320 14100626640