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440525140000 = 2554112002387
BaseRepresentation
bin1100110100100010101…
…10000011000000100000
31120010001221202210010221
412122101112003000200
524204143413440000
6534212514332424
743553423623141
oct6322126030040
91503057683127
10440525140000
1115a909a58940
1271462b8a114
133270643881a
14174703cbac8
15b6d456261a
hex6691583020

440525140000 has 120 divisors (see below), whose sum is σ = 1182281961168. Its totient is φ = 160190880000.

The previous prime is 440525139991. The next prime is 440525140037. The reversal of 440525140000 is 41525044.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 781194 + ... + 1221193.

Almost surely, 2440525140000 is an apocalyptic number.

440525140000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440525140000 is an abundant number, since it is smaller than the sum of its proper divisors (741756821168).

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

440525140000 is a wasteful number, since it uses less digits than its factorization.

440525140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002428 (or 2002405 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 440525140000 its reverse (41525044), we get a palindrome (440566665044).

The spelling of 440525140000 in words is "four hundred forty billion, five hundred twenty-five million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 10000 11000 13750 20000 22000 27500 44000 55000 110000 220000 2002387 4004774 8009548 10011935 16019096 20023870 22026257 32038192 40047740 44052514 50059675 64076384 80095480 88105028 100119350 110131285 160190960 176210056 200238700 220262570 250298375 320381920 352420112 400477400 440525140 500596750 550656425 704840224 800954800 881050280 1001193500 1101312850 1251491875 1601909600 1762100560 2002387000 2202625700 2502983750 2753282125 3524201120 4004774000 4405251400 5005967500 5506564250 8009548000 8810502800 10011935000 11013128500 13766410625 17621005600 20023870000 22026257000 27532821250 40047740000 44052514000 55065642500 88105028000 110131285000 220262570000 440525140000