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1234420244321 = 11224414179361
BaseRepresentation
bin10001111101101001001…
…011100001111101100001
311101000020212110200122012
4101331221023201331201
5130211043040304241
62343030153522305
7155120040644405
oct21755113417541
94330225420565
101234420244321
11436573057100
1217b2a4a13395
138c536680494
1443a63a3b105
152219b8eb6eb
hex11f692e1f61

1234420244321 has 12 divisors (see below), whose sum is σ = 1357398266532. Its totient is φ = 1121740224000.

The previous prime is 1234420244303. The next prime is 1234420244341.

It is a happy number.

1234420244321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 34562899921 + 1199857344400 = 185911^2 + 1095380^2 .

It is not a de Polignac number, because 1234420244321 - 230 = 1233346502497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1234420244341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794320 + ... + 2385041.

It is an arithmetic number, because the mean of its divisors is an integer number (113116522211).

Almost surely, 21234420244321 is an apocalyptic number.

1234420244321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1234420244321 is a deficient number, since it is larger than the sum of its proper divisors (122978022211).

1234420244321 is a wasteful number, since it uses less digits than its factorization.

1234420244321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181824 (or 4181813 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 1234420 and 244321, that added together give a palindrome (1478741).

The spelling of 1234420244321 in words is "one trillion, two hundred thirty-four billion, four hundred twenty million, two hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 11 121 2441 26851 295361 4179361 45972971 505702681 10201820201 112220022211 1234420244321