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4404075642880 = 2145331162419
BaseRepresentation
bin100000000010110011101…
…0111010100000000000000
3120121000200121022011220021
41000011213113110000000
51034124021331033010
613211112053223224
7633120046205644
oct100054727240000
916530617264807
104404075642880
111448837982871
125b1658031b14
1325c3c1921584
14113230906c24
15798605bb8da
hex401675d4000

4404075642880 has 120 divisors (see below), whose sum is σ = 10601456150880. Its totient is φ = 1756297297920.

The previous prime is 4404075642823. The next prime is 4404075642931. The reversal of 4404075642880 is 882465704044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27034311 + ... + 27196729.

It is an arithmetic number, because the mean of its divisors is an integer number (88345467924).

Almost surely, 24404075642880 is an apocalyptic number.

4404075642880 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 4404075642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300728075440).

4404075642880 is an abundant number, since it is smaller than the sum of its proper divisors (6197380508000).

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

4404075642880 is an equidigital number, since it uses as much as digits as its factorization.

4404075642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162783 (or 162757 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 52.

The spelling of 4404075642880 in words is "four trillion, four hundred four billion, seventy-five million, six hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 331 512 640 662 1024 1280 1324 1655 2048 2560 2648 3310 4096 5120 5296 6620 8192 10240 10592 13240 16384 20480 21184 26480 40960 42368 52960 81920 84736 105920 162419 169472 211840 324838 338944 423680 649676 677888 812095 847360 1299352 1355776 1624190 1694720 2598704 2711552 3248380 3389440 5197408 5423104 6496760 6778880 10394816 12993520 13557760 20789632 25987040 27115520 41579264 51974080 53760689 83158528 103948160 107521378 166317056 207896320 215042756 268803445 332634112 415792640 430085512 537606890 665268224 831585280 860171024 1075213780 1330536448 1663170560 1720342048 2150427560 2661072896 3326341120 3440684096 4300855120 6652682240 6881368192 8601710240 13305364480 13762736384 17203420480 27525472768 34406840960 55050945536 68813681920 110101891072 137627363840 220203782144 275254727680 440407564288 550509455360 880815128576 1101018910720 2202037821440 4404075642880