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4144343004 = 22321931241811
BaseRepresentation
bin1111011100000101…
…1010011111011100
3101200211022102211100
43313001122133130
531441422434004
61523123353100
7204462222444
oct36701323734
911624272740
104144343004
11183741226a
12977b22790
135107bc789
142b45a9124
15193c88739
hexf705a7dc

4144343004 has 144 divisors (see below), whose sum is σ = 11444392960. Its totient is φ = 1259712000.

The previous prime is 4144342997. The next prime is 4144343009. The reversal of 4144343004 is 4003434414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144343009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5109759 + ... + 5110569.

Almost surely, 24144343004 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 4144343004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722196480).

4144343004 is an abundant number, since it is smaller than the sum of its proper divisors (7300049956).

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

4144343004 is a wasteful number, since it uses less digits than its factorization.

4144343004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4144343004 is about 64376.5718565380. The cubic root of 4144343004 is about 1606.2700588592.

Adding to 4144343004 its reverse (4003434414), we get a palindrome (8147777418).

The spelling of 4144343004 in words is "four billion, one hundred forty-four million, three hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 241 279 342 372 482 558 589 684 723 811 964 1116 1178 1446 1622 1767 2169 2356 2433 2892 3244 3534 4338 4579 4866 5301 7068 7299 7471 8676 9158 9732 10602 13737 14598 14942 15409 18316 21204 22413 25141 27474 29196 29884 30818 41211 44826 46227 50282 54948 61636 67239 75423 82422 89652 92454 100564 134478 138681 141949 150846 164844 184908 195451 226269 268956 277362 283898 301692 390902 425847 452538 477679 554724 567796 586353 781804 851694 905076 955358 1172706 1277541 1433037 1703388 1759059 1910716 2345412 2555082 2866074 3518118 3713569 4299111 5110164 5732148 6058981 7036236 7427138 8598222 11140707 12117962 14854276 17196444 18176943 22281414 24235924 33422121 36353886 44562828 54530829 66844242 72707772 109061658 115120639 133688484 218123316 230241278 345361917 460482556 690723834 1036085751 1381447668 2072171502 4144343004