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441037004440 = 235891972332699
BaseRepresentation
bin1100110101011111101…
…10101001111010011000
31120011101121221012011011
412122233312221322120
524211220433120230
6534335401343304
743602210453244
oct6325766517230
91504347835134
10441037004440
111600519891aa
1271586497b34
13327884b5ca6
14174bc391424
15b714470e2a
hex66afda9e98

441037004440 has 128 divisors (see below), whose sum is σ = 1013280840000. Its totient is φ = 172738306048.

The previous prime is 441037004431. The next prime is 441037004453. The reversal of 441037004440 is 44400730144.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 163406211 + ... + 163408909.

Almost surely, 2441037004440 is an apocalyptic number.

441037004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441037004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506640420000).

441037004440 is an abundant number, since it is smaller than the sum of its proper divisors (572243835560).

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

441037004440 is a wasteful number, since it uses less digits than its factorization.

441037004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

Adding to 441037004440 its reverse (44400730144), we get a palindrome (485437734584).

The spelling of 441037004440 in words is "four hundred forty-one billion, thirty-seven million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 197 233 356 394 445 466 712 788 890 932 985 1165 1576 1780 1864 1970 2330 2699 3560 3940 4660 5398 7880 9320 10796 13495 17533 20737 21592 26990 35066 41474 45901 53980 70132 82948 87665 91802 103685 107960 140264 165896 175330 183604 207370 229505 240211 350660 367208 414740 459010 480422 531703 628867 701320 829480 918020 960844 1063406 1201055 1257734 1836040 1921688 2126812 2402110 2515468 2658515 3144335 4085189 4253624 4804220 5030936 5317030 6288670 8170378 9608440 10634060 12577340 16340756 20425945 21268120 25154680 32681512 40851890 47321567 55969163 81703780 94643134 111938326 123886799 163407560 189286268 223876652 236607835 247773598 279845815 378572536 447753304 473215670 495547196 559691630 619433995 946431340 991094392 1119383260 1238867990 1892862680 2238766520 2477735980 4955471960 11025925111 22051850222 44103700444 55129625555 88207400888 110259251110 220518502220 441037004440