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10141446020 = 2253180920219
BaseRepresentation
bin10010111000111101…
…00010111110000100
3222011202220211120212
421130132202332010
5131232202233040
64354154214552
7506212604006
oct113436427604
928152824525
1010141446020
114334644552
121b70424458
13c580b2a44
146c2c62376
153e54ecd65
hex25c7a2f84

10141446020 has 48 divisors (see below), whose sum is σ = 22012300800. Its totient is φ = 3920674560.

The previous prime is 10141446019. The next prime is 10141446047. The reversal of 10141446020 is 2064414101.

It is a happy number.

10141446020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 491471 + ... + 511689.

It is an arithmetic number, because the mean of its divisors is an integer number (458589600).

Almost surely, 210141446020 is an apocalyptic number.

10141446020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141446020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006150400).

10141446020 is an abundant number, since it is smaller than the sum of its proper divisors (11870854780).

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

10141446020 is a wasteful number, since it uses less digits than its factorization.

10141446020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21068 (or 21066 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The spelling of 10141446020 in words is "ten billion, one hundred forty-one million, four hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 809 1618 3236 4045 8090 16180 20219 25079 40438 50158 80876 100316 101095 125395 202190 250790 404380 501580 626789 1253578 2507156 3133945 6267890 12535780 16357171 32714342 65428684 81785855 163571710 327143420 507072301 1014144602 2028289204 2535361505 5070723010 10141446020