Search a number
-
+
2142240709 = 71931796577
BaseRepresentation
bin111111110101111…
…1111111111000101
312112022000002210111
41333223333333011
513341403200314
6552323353021
7104041513510
oct17753777705
95468002714
102142240709
119aa26a174
124b9522771
13281a8a56b
14164723d77
15c810cec4
hex7fafffc5

2142240709 has 32 divisors (see below), whose sum is σ = 2694348800. Its totient is φ = 1661886720.

The previous prime is 2142240691. The next prime is 2142240713. The reversal of 2142240709 is 9070422412.

It is a cyclic number.

It is not a de Polignac number, because 2142240709 - 29 = 2142240197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142240799) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322429 + ... + 329005.

It is an arithmetic number, because the mean of its divisors is an integer number (84198400).

Almost surely, 22142240709 is an apocalyptic number.

It is an amenable number.

2142240709 is a deficient number, since it is larger than the sum of its proper divisors (552108091).

2142240709 is a wasteful number, since it uses less digits than its factorization.

2142240709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 2142240709 is about 46284.3462630726. The cubic root of 2142240709 is about 1289.1083534501.

The spelling of 2142240709 in words is "two billion, one hundred forty-two million, two hundred forty thousand, seven hundred nine".

Divisors: 1 7 19 31 79 133 217 553 589 1501 2449 4123 6577 10507 17143 46039 46531 124963 203887 325717 519583 874741 1427209 3637081 3873853 9872077 16107073 27116971 69104539 112749511 306034387 2142240709