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4431223122042 = 231071091271972531
BaseRepresentation
bin100000001111011100101…
…1110101110100001111010
3120200121202120002000022110
41000132321132232201322
51040100121104401132
613231401550033150
7635100561032343
oct100367136564172
916617676060273
104431223122042
1114592a8a26762
125b69737a87b6
13261b2a02a802
141146881790ca
157a3eda841cc
hex407b97ae87a

4431223122042 has 128 divisors (see below), whose sum is σ = 9148218900480. Its totient is φ = 1430562228480.

The previous prime is 4431223122031. The next prime is 4431223122091. The reversal of 4431223122042 is 2402213221344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1750778317 + ... + 1750780847.

It is an arithmetic number, because the mean of its divisors is an integer number (71470460160).

Almost surely, 24431223122042 is an apocalyptic number.

4431223122042 is an abundant number, since it is smaller than the sum of its proper divisors (4716995778438).

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

4431223122042 is a wasteful number, since it uses less digits than its factorization.

4431223122042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4431223122042 its reverse (2402213221344), we get a palindrome (6833436343386).

The spelling of 4431223122042 in words is "four trillion, four hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 107 109 127 197 214 218 254 321 327 381 394 591 642 654 762 1182 2531 5062 7593 11663 13589 13843 15186 21079 21473 23326 25019 27178 27686 34989 40767 41529 42158 42946 50038 63237 64419 69978 75057 81534 83058 126474 128838 150114 270817 275879 321437 498607 541634 551758 642874 812451 827637 964311 997214 1481201 1495821 1624902 1655274 1928622 2297611 2677033 2727071 2962402 2991642 4443603 4595222 5354066 5454142 6892833 8031099 8181213 8887206 13785666 16062198 16362426 29519053 34393759 35036633 53350949 54348163 59038106 63323089 68787518 70073266 88557159 103181277 105109899 106701898 108696326 126646178 160052847 163044489 177114318 189969267 206362554 210219798 291796597 320105694 326088978 379938534 583593194 875389791 1750779582 3748919731 5815253441 6775570523 6902216701 7497839462 11246759193 11630506882 13551141046 13804433402 17445760323 20326711569 20706650103 22493518386 34891520646 40653423138 41413300206 738537187007 1477074374014 2215611561021 4431223122042