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1422410311120 = 245148726094583
BaseRepresentation
bin10100101100101110010…
…000101110010111010000
312000222111012221112222211
4110230232100232113100
5141301044014423440
63005240221241504
7204523440104041
oct24545620562720
95028435845884
101422410311120
114a92715a1777
121ab80a403294
13a419576a7b6
144cbb8a768c8
15270007dbeea
hex14b2e42e5d0

1422410311120 has 80 divisors (see below), whose sum is σ = 3311318776320. Its totient is φ = 568239552512.

The previous prime is 1422410311061. The next prime is 1422410311187. The reversal of 1422410311120 is 211130142241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1422410311091 and 1422410311100.

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, 310364349 + ... + 310368931.

It is an arithmetic number, because the mean of its divisors is an integer number (41391484704).

Almost surely, 21422410311120 is an apocalyptic number.

1422410311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1422410311120 is an abundant number, since it is smaller than the sum of its proper divisors (1888908465200).

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

1422410311120 is a wasteful number, since it uses less digits than its factorization.

1422410311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1422410311120 its reverse (211130142241), we get a palindrome (1633540453361).

The spelling of 1422410311120 in words is "one trillion, four hundred twenty-two billion, four hundred ten million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1487 2609 2974 4583 5218 5948 7435 9166 10436 11896 13045 14870 18332 20872 22915 23792 26090 29740 36664 41744 45830 52180 59480 73328 91660 104360 118960 183320 208720 366640 3879583 6814921 7759166 11957047 13629842 15518332 19397915 23914094 27259684 31036664 34074605 38795830 47828188 54519368 59785235 62073328 68149210 77591660 95656376 109038736 119570470 136298420 155183320 191312752 239140940 272596840 310366640 478281880 545193680 956563760 17780128889 35560257778 71120515556 88900644445 142241031112 177801288890 284482062224 355602577780 711205155560 1422410311120