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32424243444 = 22326758722901
BaseRepresentation
bin11110001100101000…
…101011000011110100
310002200200221020012100
4132030220223003310
51012401101242234
622521232022100
72225334343665
oct361450530364
9102620836170
1032424243444
111282970500a
12634a991930
1330996bb788
1417d83b936c
15c9b88d399
hex78ca2b0f4

32424243444 has 72 divisors (see below), whose sum is σ = 83329934688. Its totient is φ = 10628164800.

The previous prime is 32424243443. The next prime is 32424243517. The reversal of 32424243444 is 44434242423.

It is a super-2 number, since 2×324242434442 (a number of 22 digits) contains 22 as substring.

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 = 32424243399 and 32424243408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32424243443) 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 23 ways as a sum of consecutive naturals, for example, 1404394 + ... + 1427294.

It is an arithmetic number, because the mean of its divisors is an integer number (1157360204).

Almost surely, 232424243444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32424243444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664967344).

32424243444 is an abundant number, since it is smaller than the sum of its proper divisors (50905691244).

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

32424243444 is a wasteful number, since it uses less digits than its factorization.

32424243444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23565 (or 23560 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

Adding to 32424243444 its reverse (44434242423), we get a palindrome (76858485867).

The spelling of 32424243444 in words is "thirty-two billion, four hundred twenty-four million, two hundred forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 587 603 804 1174 1206 1761 2348 2412 3522 5283 7044 10566 21132 22901 39329 45802 68703 78658 91604 117987 137406 157316 206109 235974 274812 353961 412218 471948 707922 824436 1415844 1534367 3068734 4603101 6137468 9206202 13442887 13809303 18412404 26885774 27618606 40328661 53771548 55237212 80657322 120985983 161314644 241971966 483943932 900673429 1801346858 2702020287 3602693716 5404040574 8106060861 10808081148 16212121722 32424243444