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1144114030000 = 2454971179499
BaseRepresentation
bin10000101001100010100…
…000101010010110110000
311001101011021101200102201
4100221202200222112300
5122221121142430000
62233333154152544
7145442132536624
oct20514240522660
94041137350381
101144114030000
114012415a7727
121658a1582754
1383b742959c6
143d5381cd184
151eb6373496a
hex10a6282a5b0

1144114030000 has 100 divisors (see below), whose sum is σ = 2798573701000. Its totient is φ = 452927232000.

The previous prime is 1144114029959. The next prime is 1144114030027. The reversal of 1144114030000 is 304114411.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 1144114030000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 380251 + ... + 1559749.

It is an arithmetic number, because the mean of its divisors is an integer number (27985737010).

Almost surely, 21144114030000 is an apocalyptic number.

1144114030000 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 1144114030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399286850500).

1144114030000 is an abundant number, since it is smaller than the sum of its proper divisors (1654459671000).

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

1144114030000 is an equidigital number, since it uses as much as digits as its factorization.

1144114030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179624 (or 1179603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1144114030000 its reverse (304114411), we get a palindrome (1144418144411).

The spelling of 1144114030000 in words is "one trillion, one hundred forty-four billion, one hundred fourteen million, thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 625 776 970 1000 1250 1552 1940 2000 2425 2500 3880 4850 5000 7760 9700 10000 12125 19400 24250 38800 48500 60625 97000 121250 194000 242500 485000 970000 1179499 2358998 4717996 5897495 9435992 11794990 18871984 23589980 29487475 47179960 58974950 94359920 114411403 117949900 147437375 228822806 235899800 294874750 457645612 471799600 572057015 589749500 737186875 915291224 1144114030 1179499000 1474373750 1830582448 2288228060 2358998000 2860285075 2948747500 4576456120 5720570150 5897495000 9152912240 11441140300 11794990000 14301425375 22882280600 28602850750 45764561200 57205701500 71507126875 114411403000 143014253750 228822806000 286028507500 572057015000 1144114030000