Search a number
-
+
420401022441011 = 37417135331104781
BaseRepresentation
bin101111110010110100011110…
…1100110110001011000110011
32001010111221112002012101011222
41133211220331212301120303
5420100322243221103021
64050041321415455255
7154356654146322653
oct13745507546613063
92033457462171158
10420401022441011
11111a530883770a7
123b19864b98752b
1315076852c364b1
1475b5737778363
1533908de5236ab
hex17e5a3d9b1633

420401022441011 has 32 divisors (see below), whose sum is σ = 448650874256256. Its totient is φ = 393329962368000.

The previous prime is 420401022440887. The next prime is 420401022441091. The reversal of 420401022441011 is 110144220104024.

It is a cyclic number.

It is not a de Polignac number, because 420401022441011 - 218 = 420401022178867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420401022441091) 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, 379976441 + ... + 381081221.

It is an arithmetic number, because the mean of its divisors is an integer number (14020339820508).

Almost surely, 2420401022441011 is an apocalyptic number.

420401022441011 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

420401022441011 is a deficient number, since it is larger than the sum of its proper divisors (28249851815245).

420401022441011 is a wasteful number, since it uses less digits than its factorization.

420401022441011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108463.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 420401022441011 its reverse (110144220104024), we get a palindrome (530545242545035).

The spelling of 420401022441011 in words is "four hundred twenty trillion, four hundred one billion, twenty-two million, four hundred forty-one thousand, eleven".

Divisors: 1 37 41 71 1517 2627 2911 3533 107707 130721 144853 250843 1104781 5359561 9281191 10284563 40876897 45296021 78439451 380528831 1675952777 2902259687 3216017491 3903191273 118992647167 144418077101 160030842193 277126580383 5921141161141 10253683474171 11362189795703 420401022441011