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14534120000 = 2654587619
BaseRepresentation
bin11011000100100110…
…10001001001000000
31101111220111210110202
431202103101021000
5214231213320000
610402112344332
71023111660461
oct154223211100
941456453422
1014534120000
11618914a524
1229975450a8
1314a817c30a
149bc3d0d68
155a0e8add5
hex3624d1240

14534120000 has 140 divisors (see below), whose sum is σ = 36159612720. Its totient is φ = 5794368000.

The previous prime is 14534119997. The next prime is 14534120009. The reversal of 14534120000 is 2143541.

It is a super-2 number, since 2×145341200002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14534120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23479691 + ... + 23480309.

It is an arithmetic number, because the mean of its divisors is an integer number (258282948).

Almost surely, 214534120000 is an apocalyptic number.

14534120000 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 14534120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079806360).

14534120000 is an abundant number, since it is smaller than the sum of its proper divisors (21625492720).

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

14534120000 is an frugal number, since it uses more digits than its factorization.

14534120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14534120000 its reverse (2143541), we get a palindrome (14536263541).

The spelling of 14534120000 in words is "fourteen billion, five hundred thirty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 587 619 625 800 1000 1174 1238 1250 1600 2000 2348 2476 2500 2935 3095 4000 4696 4952 5000 5870 6190 8000 9392 9904 10000 11740 12380 14675 15475 18784 19808 20000 23480 24760 29350 30950 37568 39616 40000 46960 49520 58700 61900 73375 77375 93920 99040 117400 123800 146750 154750 187840 198080 234800 247600 293500 309500 363353 366875 386875 469600 495200 587000 619000 726706 733750 773750 939200 990400 1174000 1238000 1453412 1467500 1547500 1816765 2348000 2476000 2906824 2935000 3095000 3633530 4696000 4952000 5813648 5870000 6190000 7267060 9083825 11627296 11740000 12380000 14534120 18167650 23254592 23480000 24760000 29068240 36335300 45419125 58136480 72670600 90838250 116272960 145341200 181676500 227095625 290682400 363353000 454191250 581364800 726706000 908382500 1453412000 1816765000 2906824000 3633530000 7267060000 14534120000