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4402444442044 = 2211229794019901
BaseRepresentation
bin100000000010000011000…
…1000110001100110111100
3120120212110220220121000111
41000010012020301212330
51034112201234121134
613210242143035404
7633031451216245
oct100040610614674
916525426817014
104402444442044
111448080130500
125b128189bb64
1325c1c19b308c
1411311800dccc
15797b72a7c64
hex401062319bc

4402444442044 has 144 divisors (see below), whose sum is σ = 8894261577600. Its totient is φ = 1902700800000.

The previous prime is 4402444442027. The next prime is 4402444442083.

4402444442044 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4402444441988 and 4402444442006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444641494 + ... + 444651394.

It is an arithmetic number, because the mean of its divisors is an integer number (61765705400).

Almost surely, 24402444442044 is an apocalyptic number.

4402444442044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4402444442044 is an abundant number, since it is smaller than the sum of its proper divisors (4491817135556).

4402444442044 is a wasteful number, since it uses less digits than its factorization.

4402444442044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10436 (or 10423 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

The spelling of 4402444442044 in words is "four trillion, four hundred two billion, four hundred forty-four million, four hundred forty-two thousand, forty-four".

Divisors: 1 2 4 11 22 29 44 58 79 116 121 158 242 316 319 401 484 638 802 869 1276 1604 1738 2291 3476 3509 4411 4582 7018 8822 9164 9559 9901 11629 14036 17644 19118 19802 23258 25201 31679 38236 39604 46516 48521 50402 63358 97042 100804 108911 126716 127919 194084 217822 255838 277211 287129 348469 435644 511676 554422 574258 696938 782179 918691 1108844 1148516 1198021 1393876 1407109 1564358 1837382 2396042 2814218 3128716 3158419 3674764 3833159 3970301 4792084 5628436 6316838 7666318 7940602 8603969 10105601 12633676 15332636 15881204 17207938 20211202 22683191 34415876 34742609 40422404 43673311 45366382 69485218 87346622 90732764 94643659 111161611 115138729 138970436 174693244 189287318 222323222 230277458 249515101 313653779 378574636 444646444 460554916 480406421 499030202 627307558 960812842 998060404 1254615116 1266526019 1921625684 2533052038 2744666111 3450191569 5066104076 5489332222 6900383138 9095959591 10978664444 13800766276 13931786209 18191919182 27863572418 36383838364 37952107259 55727144836 75904214518 100055555501 151808429036 200111111002 400222222004 1100611110511 2201222221022 4402444442044