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1445442525540 = 2232513617710481
BaseRepresentation
bin10101000010001011000…
…101101001100101100100
312010011221101010021110100
4111002023011221211210
5142140231241304130
63024005505424100
7206300261514156
oct25021305514544
95104841107410
101445442525540
11508010694322
121b417793b030
13a63c63c8840
144dd6194cad6
15278ec861c60
hex1508b169964

1445442525540 has 72 divisors (see below), whose sum is σ = 4721778924408. Its totient is φ = 355801236480.

The previous prime is 1445442525497. The next prime is 1445442525587. The reversal of 1445442525540 is 455252445441.

1445442525540 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 4 + 42 + 52 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31017549924 + 1414424975616 = 176118^2 + 1189296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308852901 + ... + 308857580.

It is an arithmetic number, because the mean of its divisors is an integer number (65580262839).

Almost surely, 21445442525540 is an apocalyptic number.

1445442525540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1445442525540 is an abundant number, since it is smaller than the sum of its proper divisors (3276336398868).

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

1445442525540 is a wasteful number, since it uses less digits than its factorization.

1445442525540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617710509 (or 617710504 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

The spelling of 1445442525540 in words is "one trillion, four hundred forty-five billion, four hundred forty-two million, five hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 617710481 1235420962 1853131443 2470841924 3088552405 3706262886 5559394329 6177104810 7412525772 8030236253 9265657215 11118788658 12354209620 16060472506 18531314430 22237577316 24090708759 27796971645 32120945012 37062628860 40151181265 48181417518 55593943290 72272126277 80302362530 96362835036 111187886580 120453543795 144544252554 160604725060 240907087590 289088505108 361360631385 481814175180 722721262770 1445442525540