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1445021440 = 2851959417
BaseRepresentation
bin101011000100001…
…0100011100000000
310201201001200202121
41112020110130000
510424411141230
6355215454024
750544323332
oct12610243400
93651050677
101445021440
11681749aa5
12343b27314
131a04b2a95
14d9cb1452
1586cd977a
hex56214700

1445021440 has 72 divisors (see below), whose sum is σ = 3643511760. Its totient is φ = 547577856.

The previous prime is 1445021419. The next prime is 1445021447. The reversal of 1445021440 is 441205441.

1445021440 = 38532 + 38542 + ... + 39472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445021447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5389 + ... + 54028.

It is an arithmetic number, because the mean of its divisors is an integer number (50604330).

Almost surely, 21445021440 is an apocalyptic number.

1445021440 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 1445021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821755880).

1445021440 is an abundant number, since it is smaller than the sum of its proper divisors (2198490320).

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

1445021440 is an equidigital number, since it uses as much as digits as its factorization.

1445021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59457 (or 59443 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 1445021440 is about 38013.4376240824. The cubic root of 1445021440 is about 1130.5543107570.

Adding to 1445021440 its reverse (441205441), we get a palindrome (1886226881).

The spelling of 1445021440 in words is "one billion, four hundred forty-five million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 59417 118834 237668 297085 475336 594170 950672 1128923 1188340 1901344 2257846 2376680 3802688 4515692 4753360 5644615 7605376 9031384 9506720 11289230 15210752 18062768 19013440 22578460 36125536 38026880 45156920 72251072 76053760 90313840 144502144 180627680 289004288 361255360 722510720 1445021440