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2141403120 = 2432531372593
BaseRepresentation
bin111111110100011…
…0011011111110000
312112020102112211200
41333220303133300
513341144344440
6552253411200
7104031424533
oct17750633760
95466375750
102141403120
119a984794a
124b9199b00
1328185624c
14164586a1a
15c7ee4c30
hex7fa337f0

2141403120 has 240 divisors, whose sum is σ = 7627107072. Its totient is φ = 537477120.

The previous prime is 2141403107. The next prime is 2141403163. The reversal of 2141403120 is 213041412.

2141403120 is a `hidden beast` number, since 2 + 141 + 403 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2141403093 and 2141403102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824544 + ... + 827136.

Almost surely, 22141403120 is an apocalyptic number.

2141403120 is a gapful number since it is divisible by the number (20) 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 2141403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813553536).

2141403120 is an abundant number, since it is smaller than the sum of its proper divisors (5485703952).

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

2141403120 is a wasteful number, since it uses less digits than its factorization.

2141403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2141403120 is about 46275.2970817044. The cubic root of 2141403120 is about 1288.9403231996.

Adding to 2141403120 its reverse (213041412), we get a palindrome (2354444532).

The spelling of 2141403120 in words is "two billion, one hundred forty-one million, four hundred three thousand, one hundred twenty".