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444314422440 = 23345719590583
BaseRepresentation
bin1100111011100110011…
…01000000110010101000
31120110212000222021110000
412131303031000302220
524234423443004230
6540040520023000
744046345163620
oct6356315006250
91513760867400
10444314422440
111614839a9919
1272140001a60
1332b8b4bc895
141770d76d880
15b857062b60
hex6773340ca8

444314422440 has 160 divisors (see below), whose sum is σ = 1706731678080. Its totient is φ = 101557577088.

The previous prime is 444314422439. The next prime is 444314422459. The reversal of 444314422440 is 44224413444.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 444314422395 and 444314422404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9772612 + ... + 9817971.

It is an arithmetic number, because the mean of its divisors is an integer number (10667072988).

Almost surely, 2444314422440 is an apocalyptic number.

444314422440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444314422440 is an abundant number, since it is smaller than the sum of its proper divisors (1262417255640).

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

444314422440 is a wasteful number, since it uses less digits than its factorization.

444314422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19590613 (or 19590600 counting only the distinct ones).

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

Adding to 444314422440 its reverse (44224413444), we get a palindrome (488538835884).

The spelling of 444314422440 in words is "four hundred forty-four billion, three hundred fourteen million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 19590583 39181166 58771749 78362332 97952915 117543498 137134081 156724664 176315247 195905830 235086996 274268162 293858745 352630494 391811660 411402243 470173992 528945741 548536324 587717490 685670405 705260988 783623320 822804486 881576235 1057891482 1097072648 1175434980 1234206729 1371340810 1410521976 1586837223 1645608972 1763152470 2057011215 2115782964 2350869960 2468413458 2644728705 2742681620 3173674446 3291217944 3526304940 3702620187 4114022430 4231565928 4936826916 5289457410 5485363240 6171033645 6347348892 7052609880 7405240374 7934186115 8228044860 9873653832 10578914820 11107860561 12342067290 12694697784 14810480748 15868372230 16456089720 18513100935 21157829640 22215721122 24684134580 29620961496 31736744460 37026201870 44431442244 49368269160 55539302805 63473488920 74052403740 88862884488 111078605610 148104807480 222157211220 444314422440