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4404840048080 = 2451032579292239
BaseRepresentation
bin100000000011001010011…
…1011010010010111010000
3120121002122212122222200222
41000012110323102113100
51034132103023014310
613211320001132212
7633145020432353
oct100062473222720
916532585588628
104404840048080
11144909a4117aa
125b183002a068
1325c4b40c0a44
141132a424829a
15798a7762055
hex40194ed25d0

4404840048080 has 160 divisors (see below), whose sum is σ = 10396734566400. Its totient is φ = 1735394328576.

The previous prime is 4404840047969. The next prime is 4404840048113. The reversal of 4404840048080 is 808400484044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967323601 + ... + 1967325839.

It is an arithmetic number, because the mean of its divisors is an integer number (64979591040).

Almost surely, 24404840048080 is an apocalyptic number.

4404840048080 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 4404840048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198367283200).

4404840048080 is an abundant number, since it is smaller than the sum of its proper divisors (5991894518320).

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

4404840048080 is a wasteful number, since it uses less digits than its factorization.

4404840048080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 4404840048080 in words is "four trillion, four hundred four billion, eight hundred forty million, forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 257 412 514 515 824 929 1028 1030 1285 1648 1858 2056 2060 2239 2570 3716 4112 4120 4478 4645 5140 7432 8240 8956 9290 10280 11195 14864 17912 18580 20560 22390 26471 35824 37160 44780 52942 74320 89560 95687 105884 132355 179120 191374 211768 230617 238753 264710 382748 423536 461234 477506 478435 529420 575423 765496 922468 955012 956870 1058840 1150846 1153085 1193765 1530992 1844936 1910024 1913740 2080031 2117680 2301692 2306170 2387530 2877115 3689872 3820048 3827480 4160062 4603384 4612340 4775060 5754230 7654960 8320124 9206768 9224680 9550120 10400155 11508460 16640248 18449360 19100240 20800310 23016920 24591559 33280496 41600620 46033840 49183118 59268569 83201240 98366236 118537138 122957795 166402480 196732472 214243193 237074276 245915590 296342845 393464944 428486386 474148552 491831180 534567967 592685690 856972772 948297104 983662360 1069135934 1071215965 1185371380 1713945544 1967324720 2138271868 2142431930 2370742760 2672839835 3427891088 4276543736 4284863860 4741485520 5345679670 8553087472 8569727720 10691359340 17139455440 21382718680 42765437360 55060500601 110121001202 220242002404 275302503005 440484004808 550605006010 880968009616 1101210012020 2202420024040 4404840048080