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2141712240 = 24358923801
BaseRepresentation
bin111111110100111…
…1110111101110000
312112021000020212120
41333221332331300
513341234242430
6552304154240
7104034153003
oct17751767560
95467006776
102141712240
119a9a39118
124b9308980
13281933b65
1416462753a
15c8056610
hex7fa7ef70

2141712240 has 40 divisors (see below), whose sum is σ = 6639308688. Its totient is φ = 571123200.

The previous prime is 2141712197. The next prime is 2141712271. The reversal of 2141712240 is 422171412.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2141712240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4461661 + ... + 4462140.

Almost surely, 22141712240 is an apocalyptic number.

2141712240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141712240 is an abundant number, since it is smaller than the sum of its proper divisors (4497596448).

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

2141712240 is a wasteful number, since it uses less digits than its factorization.

2141712240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8923817 (or 8923811 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2141712240 is about 46278.6369721495. The cubic root of 2141712240 is about 1289.0023414247.

Adding to 2141712240 its reverse (422171412), we get a palindrome (2563883652).

The spelling of 2141712240 in words is "two billion, one hundred forty-one million, seven hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8923801 17847602 26771403 35695204 44619005 53542806 71390408 89238010 107085612 133857015 142780816 178476020 214171224 267714030 356952040 428342448 535428060 713904080 1070856120 2141712240