Search a number
-
+
124443304000000 = 295615555413
BaseRepresentation
bin11100010010111000110110…
…111011011111101000000000
3121022121122220211011020022021
4130102320312323133220000
5112302334341311000000
61120400244210051224
735132506040054206
oct3422706673375000
9538548824136267
10124443304000000
1136719121972327
1211b59b42879b14
135458c51298b7b
1422a313387b076
15e5c0c8ad411a
hex712e36edfa00

124443304000000 has 140 divisors (see below), whose sum is σ = 310800485023182. Its totient is φ = 49777318400000.

The previous prime is 124443303999977. The next prime is 124443304000039. The reversal of 124443304000000 is 403344421.

It can be written as a sum of positive squares in 7 ways, for example, as 75725360929024 + 48717943070976 = 8702032^2 + 6979824^2 .

It is a super-2 number, since 2×1244433040000002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 222294 + ... + 15777706.

Almost surely, 2124443304000000 is an apocalyptic number.

124443304000000 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 124443304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155400242511591).

124443304000000 is an abundant number, since it is smaller than the sum of its proper divisors (186357181023182).

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

124443304000000 is an frugal number, since it uses more digits than its factorization.

124443304000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15555461 (or 15555420 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 124443304000000 its reverse (403344421), we get a palindrome (124443707344421).

The spelling of 124443304000000 in words is "one hundred twenty-four trillion, four hundred forty-three billion, three hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 15625 16000 20000 25000 31250 32000 40000 50000 62500 64000 80000 100000 125000 160000 200000 250000 320000 400000 500000 800000 1000000 1600000 2000000 4000000 8000000 15555413 31110826 62221652 77777065 124443304 155554130 248886608 311108260 388885325 497773216 622216520 777770650 995546432 1244433040 1555541300 1944426625 1991092864 2488866080 3111082600 3888853250 3982185728 4977732160 6222165200 7777706500 7964371456 9722133125 9955464320 12444330400 15555413000 19444266250 19910928640 24888660800 31110826000 38888532500 39821857280 48610665625 49777321600 62221652000 77777065000 97221331250 99554643200 124443304000 155554130000 194442662500 199109286400 243053328125 248886608000 311108260000 388885325000 486106656250 497773216000 622216520000 777770650000 972213312500 995546432000 1244433040000 1555541300000 1944426625000 2488866080000 3111082600000 3888853250000 4977732160000 6222165200000 7777706500000 12444330400000 15555413000000 24888660800000 31110826000000 62221652000000 124443304000000