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1445100000 = 253554817
BaseRepresentation
bin101011000100010…
…0111100111100000
310201201012200112020
41112020213213200
510424421200000
6355221301440
750545101351
oct12610474740
93651180466
101445100000
116817a3023
12343b64880
131a050c776
14d9cd1d28
1586d02ba0
hex562279e0

1445100000 has 144 divisors (see below), whose sum is σ = 4742415216. Its totient is φ = 385280000.

The previous prime is 1445099993. The next prime is 1445100053. The reversal of 1445100000 is 15441.

1445100000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297592 + ... + 302408.

It is an arithmetic number, because the mean of its divisors is an integer number (32933439).

Almost surely, 21445100000 is an apocalyptic number.

1445100000 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 1445100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371207608).

1445100000 is an abundant number, since it is smaller than the sum of its proper divisors (3297315216).

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

1445100000 is an frugal number, since it uses more digits than its factorization.

1445100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1445100000 is about 38014.4709288450. The cubic root of 1445100000 is about 1130.5747982817.

Adding to 1445100000 its reverse (15441), we get a palindrome (1445115441).

The spelling of 1445100000 in words is "one billion, four hundred forty-five million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 4817 5000 6000 6250 7500 9375 9634 10000 12000 12500 14451 15000 18750 19268 20000 24085 25000 28902 30000 37500 38536 48170 50000 57804 60000 72255 75000 77072 96340 100000 115608 120425 144510 150000 154144 192680 231216 240850 289020 300000 361275 385360 462432 481700 578040 602125 722550 770720 963400 1156080 1204250 1445100 1806375 1926800 2312160 2408500 2890200 3010625 3612750 3853600 4817000 5780400 6021250 7225500 9031875 9634000 11560800 12042500 14451000 15053125 18063750 19268000 24085000 28902000 30106250 36127500 45159375 48170000 57804000 60212500 72255000 90318750 96340000 120425000 144510000 180637500 240850000 289020000 361275000 481700000 722550000 1445100000