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4101400000 = 265520507
BaseRepresentation
bin1111010001110110…
…0110010111000000
3101120211111201002201
43310131212113000
531344424300000
61514551122544
7203431216255
oct36435462700
911524451081
104101400000
111815151585
12965673454
13504935509
142ac9cb42c
1519010496a
hexf47665c0

4101400000 has 84 divisors (see below), whose sum is σ = 10173239496. Its totient is φ = 1640480000.

The previous prime is 4101399959. The next prime is 4101400031. The reversal of 4101400000 is 41014.

4101400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 4101400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189747 + ... + 210253.

It is an arithmetic number, because the mean of its divisors is an integer number (121109994).

Almost surely, 24101400000 is an apocalyptic number.

4101400000 is a gapful number since it is divisible by the number (40) 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 4101400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086619748).

4101400000 is an abundant number, since it is smaller than the sum of its proper divisors (6071839496).

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

4101400000 is an frugal number, since it uses more digits than its factorization.

4101400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20544 (or 20514 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4101400000 is about 64042.1736045865. The cubic root of 4101400000 is about 1600.7028162356.

Adding to 4101400000 its reverse (41014), we get a palindrome (4101441014).

4101400000 divided by its reverse (41014) gives a 5-th power (100000 = 105).

The spelling of 4101400000 in words is "four billion, one hundred one million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 20507 25000 40000 41014 50000 82028 100000 102535 164056 200000 205070 328112 410140 512675 656224 820280 1025350 1312448 1640560 2050700 2563375 3281120 4101400 5126750 6562240 8202800 10253500 12816875 16405600 20507000 25633750 32811200 41014000 51267500 64084375 82028000 102535000 128168750 164056000 205070000 256337500 410140000 512675000 820280000 1025350000 2050700000 4101400000