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244434434442 = 231137100096001
BaseRepresentation
bin1110001110100101101…
…1010111100110001010
3212100221001111211110120
43203221123113212022
513001100203400232
6304142554124110
723442212261052
oct3435133274612
9770831454416
10244434434442
11947339584a0
123b458720636
131a085cccc33
14bb8b5ac562
1565593e792c
hex38e96d798a

244434434442 has 32 divisors (see below), whose sum is σ = 547725322944. Its totient is φ = 72069120000.

The previous prime is 244434434441. The next prime is 244434434443.

244434434442 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (244434434441) and next prime (244434434443).

It is a super-5 number, since 5×2444344344425 (a number of 58 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244434434394 and 244434434403.

It is not an unprimeable number, because it can be changed into a prime (244434434441) 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, 50045559 + ... + 50050442.

It is an arithmetic number, because the mean of its divisors is an integer number (17116416342).

Almost surely, 2244434434442 is an apocalyptic number.

244434434442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

244434434442 is an abundant number, since it is smaller than the sum of its proper divisors (303290888502).

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

244434434442 is a wasteful number, since it uses less digits than its factorization.

244434434442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100096054.

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 244434 and 434442, that added together give a palindrome (678876).

The spelling of 244434434442 in words is "two hundred forty-four billion, four hundred thirty-four million, four hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 100096001 200192002 300288003 600576006 1101056011 2202112022 3303168033 3703552037 6606336066 7407104074 11110656111 22221312222 40739072407 81478144814 122217217221 244434434442