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8144457900 = 2235240966377
BaseRepresentation
bin1111001010111001…
…01001000010101100
3210000121020022212220
413211130221002230
5113134440123100
63424055555340
7405553515135
oct74534510254
923017208786
108144457900
1134aa374847
1216b368bb50
139ca451577
1457394cc8c
1532a032aa0
hex1e57290ac

8144457900 has 72 divisors (see below), whose sum is σ = 23622602640. Its totient is φ = 2166512640.

The previous prime is 8144457887. The next prime is 8144457911. The reversal of 8144457900 is 97544418.

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, 89512 + ... + 155888.

Almost surely, 28144457900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8144457900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811301320).

8144457900 is an abundant number, since it is smaller than the sum of its proper divisors (15478144740).

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

8144457900 is a wasteful number, since it uses less digits than its factorization.

8144457900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66803 (or 66796 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 8144457900 is about 90246.6503533511. The cubic root of 8144457900 is about 2011.9664179595.

The spelling of 8144457900 in words is "eight billion, one hundred forty-four million, four hundred fifty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 409 818 1227 1636 2045 2454 4090 4908 6135 8180 10225 12270 20450 24540 30675 40900 61350 66377 122700 132754 199131 265508 331885 398262 663770 796524 995655 1327540 1659425 1991310 3318850 3982620 4978275 6637700 9956550 19913100 27148193 54296386 81444579 108592772 135740965 162889158 271481930 325778316 407222895 542963860 678704825 814445790 1357409650 1628891580 2036114475 2714819300 4072228950 8144457900