Search a number
-
+
2141402440 = 23573799283
BaseRepresentation
bin111111110100011…
…0011010101001000
312112020102111220111
41333220303111020
513341144334230
6552253404104
7104031422542
oct17750632510
95466374814
102141402440
119a9847391
124b9199634
13281855b48
14164586692
15c7ee492a
hex7fa33548

2141402440 has 64 divisors (see below), whose sum is σ = 4946515200. Its totient is φ = 834043392.

The previous prime is 2141402437. The next prime is 2141402441. The reversal of 2141402440 is 442041412.

It is not an unprimeable number, because it can be changed into a prime (2141402441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226039 + ... + 235321.

It is an arithmetic number, because the mean of its divisors is an integer number (77289300).

Almost surely, 22141402440 is an apocalyptic number.

2141402440 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 2141402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473257600).

2141402440 is an abundant number, since it is smaller than the sum of its proper divisors (2805112760).

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

2141402440 is a wasteful number, since it uses less digits than its factorization.

2141402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2141402440 is about 46275.2897343712. The cubic root of 2141402440 is about 1288.9401867657.

Adding to 2141402440 its reverse (442041412), we get a palindrome (2583443852).

The spelling of 2141402440 in words is "two billion, one hundred forty-one million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 79 146 158 292 316 365 395 584 632 730 790 1460 1580 2920 3160 5767 9283 11534 18566 23068 28835 37132 46136 46415 57670 74264 92830 115340 185660 230680 371320 677659 733357 1355318 1466714 2710636 2933428 3388295 3666785 5421272 5866856 6776590 7333570 13553180 14667140 27106360 29334280 53535061 107070122 214140244 267675305 428280488 535350610 1070701220 2141402440