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2141380829 = 71372232931
BaseRepresentation
bin111111110100010…
…1110000011011101
312112020101102021002
41333220232003131
513341143141304
6552253120045
7104031302540
oct17750560335
95466342232
102141380829
119a9832125
124b9189025
13281849063
1416457c857
15c7edd31e
hex7fa2e0dd

2141380829 has 8 divisors (see below), whose sum is σ = 2465156928. Its totient is φ = 1822070880.

The previous prime is 2141380823. The next prime is 2141380853. The reversal of 2141380829 is 9280831412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-2141380829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2141380792 and 2141380801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141380823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115507 + ... + 1117424.

It is an arithmetic number, because the mean of its divisors is an integer number (308144616).

Almost surely, 22141380829 is an apocalyptic number.

It is an amenable number.

2141380829 is a deficient number, since it is larger than the sum of its proper divisors (323776099).

2141380829 is a wasteful number, since it uses less digits than its factorization.

2141380829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233075.

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 2141380829 is about 46275.0562290312. The cubic root of 2141380829 is about 1288.9358507631.

The spelling of 2141380829 in words is "two billion, one hundred forty-one million, three hundred eighty thousand, eight hundred twenty-nine".

Divisors: 1 7 137 959 2232931 15630517 305911547 2141380829