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34441242444 = 223575061911
BaseRepresentation
bin100000000100110110…
…111010011101001100
310021220021021101200000
4200010312322131030
51031013424224234
623453323204300
72326325505360
oct400466723514
9107807241600
1034441242444
1113674202234
126812376690
13332b5382cb
14194a21b2a0
15d689ac899
hex804dba74c

34441242444 has 72 divisors (see below), whose sum is σ = 103182014208. Its totient is φ = 9840353040.

The previous prime is 34441242443. The next prime is 34441242457. The reversal of 34441242444 is 44424214443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34441242399 and 34441242408.

It is not an unprimeable number, because it can be changed into a prime (34441242443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2524152 + ... + 2537759.

Almost surely, 234441242444 is an apocalyptic number.

It is an amenable number.

34441242444 is an abundant number, since it is smaller than the sum of its proper divisors (68740771764).

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

34441242444 is a wasteful number, since it uses less digits than its factorization.

34441242444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5061937 (or 5061923 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 34441242444 its reverse (44424214443), we get a palindrome (78865456887).

The spelling of 34441242444 in words is "thirty-four billion, four hundred forty-one million, two hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 5061911 10123822 15185733 20247644 30371466 35433377 45557199 60742932 70866754 91114398 106300131 136671597 141733508 182228796 212600262 273343194 318900393 410014791 425200524 546686388 637800786 820029582 956701179 1230044373 1275601572 1640059164 1913402358 2460088746 2870103537 3826804716 4920177492 5740207074 8610310611 11480414148 17220621222 34441242444