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1404343201120 = 25597631143401
BaseRepresentation
bin10100011011111001011…
…000001010110101100000
311222020212002111021100121
4110123321120022311200
5141002043324413440
62553051340330024
7203313635152666
oct24337130126540
94866762437317
101404343201120
114a1640142602
121a8207843914
13a2576670c72
144bd8337ac36
15267e45c934a
hex146f960ad60

1404343201120 has 96 divisors (see below), whose sum is σ = 3357300090816. Its totient is φ = 555061248000.

The previous prime is 1404343201117. The next prime is 1404343201139. The reversal of 1404343201120 is 211023434041.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9721420 + ... + 9864820.

It is an arithmetic number, because the mean of its divisors is an integer number (34971875946).

Almost surely, 21404343201120 is an apocalyptic number.

1404343201120 is a gapful number since it is divisible by the number (10) 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 1404343201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678650045408).

1404343201120 is an abundant number, since it is smaller than the sum of its proper divisors (1952956889696).

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

1404343201120 is a wasteful number, since it uses less digits than its factorization.

1404343201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144144 (or 144136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1404343201120 its reverse (211023434041), we get a palindrome (1615366635161).

The spelling of 1404343201120 in words is "one trillion, four hundred four billion, three hundred forty-three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 631 776 970 1262 1552 1940 2524 3104 3155 3880 5048 6310 7760 10096 12620 15520 20192 25240 50480 61207 100960 122414 143401 244828 286802 306035 489656 573604 612070 717005 979312 1147208 1224140 1434010 1958624 2294416 2448280 2868020 4588832 4896560 5736040 9793120 11472080 13909897 22944160 27819794 55639588 69549485 90486031 111279176 139098970 180972062 222558352 278197940 361944124 445116704 452430155 556395880 723888248 904860310 1112791760 1447776496 1809720620 2225583520 2895552992 3619441240 7238882480 8777145007 14477764960 17554290014 35108580028 43885725035 70217160056 87771450070 140434320112 175542900140 280868640224 351085800280 702171600560 1404343201120