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1445109840 = 243252007097
BaseRepresentation
bin101011000100010…
…1010000001010000
310201201020012000200
41112020222001100
510424422003330
6355221415200
750545142136
oct12610520120
93651205020
101445109840
116817aa459
12343b6a500
131a05140a5
14d9cd5756
1586d05a60
hex5622a050

1445109840 has 60 divisors (see below), whose sum is σ = 4853162964. Its totient is φ = 385362432.

The previous prime is 1445109829. The next prime is 1445109859. The reversal of 1445109840 is 489015441.

1445109840 is a `hidden beast` number, since 14 + 4 + 510 + 98 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 320983056 + 1124126784 = 17916^2 + 33528^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1445109795 and 1445109804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1002829 + ... + 1004268.

Almost surely, 21445109840 is an apocalyptic number.

1445109840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1445109840 is an abundant number, since it is smaller than the sum of its proper divisors (3408053124).

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

1445109840 is a wasteful number, since it uses less digits than its factorization.

1445109840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007116 (or 2007107 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1445109840 is about 38014.6003530223. The cubic root of 1445109840 is about 1130.5773643857.

The spelling of 1445109840 in words is "one billion, four hundred forty-five million, one hundred nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2007097 4014194 6021291 8028388 10035485 12042582 16056776 18063873 20070970 24085164 30106455 32113552 36127746 40141940 48170328 60212910 72255492 80283880 90319365 96340656 120425820 144510984 160567760 180638730 240851640 289021968 361277460 481703280 722554920 1445109840