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1141412222000 = 24533691154621
BaseRepresentation
bin10000100111000001011…
…110000101010000110000
311001010011222110121121202
4100213001132011100300
5122200103012101000
62232205121110332
7145315154543441
oct20470136052060
94033158417552
101141412222000
11400085496356
121652687883a8
13838335c834b
143d35d4492c8
151ea56443dd5
hex109c1785430

1141412222000 has 80 divisors (see below), whose sum is σ = 2760700354464. Its totient is φ = 456438240000.

The previous prime is 1141412221979. The next prime is 1141412222023. The reversal of 1141412222000 is 2222141411.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7304690 + ... + 7459310.

Almost surely, 21141412222000 is an apocalyptic number.

1141412222000 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 1141412222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380350177232).

1141412222000 is an abundant number, since it is smaller than the sum of its proper divisors (1619288132464).

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

1141412222000 is a wasteful number, since it uses less digits than its factorization.

1141412222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158335 (or 158319 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1141412222000 its reverse (2222141411), we get a palindrome (1143634363411).

The spelling of 1141412222000 in words is "one trillion, one hundred forty-one billion, four hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 3691 7382 14764 18455 29528 36910 59056 73820 92275 147640 154621 184550 295280 309242 369100 461375 618484 738200 773105 922750 1236968 1476400 1546210 1845500 2473936 3092420 3691000 3865525 6184840 7382000 7731050 12369680 15462100 19327625 30924200 38655250 61848400 77310500 154621000 309242000 570706111 1141412222 2282824444 2853530555 4565648888 5707061110 9131297776 11414122220 14267652775 22828244440 28535305550 45656488880 57070611100 71338263875 114141222200 142676527750 228282444400 285353055500 570706111000 1141412222000