Search a number
-
+
2142001407 = 37137846159
BaseRepresentation
bin111111110101100…
…0101100011111111
312112021112221112110
41333223011203333
513341323021112
6552314305103
7104036466030
oct17753054377
95467487473
102142001407
119aa1163a7
124b9428193
13281a05670
141646a0a87
15c80b213c
hex7fac58ff

2142001407 has 16 divisors (see below), whose sum is σ = 3515079680. Its totient is φ = 1129846752.

The previous prime is 2142001391. The next prime is 2142001409. The reversal of 2142001407 is 7041002412.

It is a happy number.

It is not a de Polignac number, because 2142001407 - 24 = 2142001391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142001409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3922807 + ... + 3923352.

It is an arithmetic number, because the mean of its divisors is an integer number (219692480).

Almost surely, 22142001407 is an apocalyptic number.

2142001407 is a deficient number, since it is larger than the sum of its proper divisors (1373078273).

2142001407 is a wasteful number, since it uses less digits than its factorization.

2142001407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846182.

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2142001407 is about 46281.7610619994. The cubic root of 2142001407 is about 1289.0603511111.

Adding to 2142001407 its reverse (7041002412), we get a palindrome (9183003819).

The spelling of 2142001407 in words is "two billion, one hundred forty-two million, one thousand, four hundred seven".

Divisors: 1 3 7 13 21 39 91 273 7846159 23538477 54923113 102000067 164769339 306000201 714000469 2142001407