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1144098800 = 245213220019
BaseRepresentation
bin100010000110001…
…1000111111110000
32221201211020111122
41010030120333300
54320342130200
6305310001412
740231452005
oct10414307760
92851736448
101144098800
115378a53a9
1227b1a6268
13153051050
14abd3b8ac
156a697385
hex44318ff0

1144098800 has 60 divisors (see below), whose sum is σ = 2960149080. Its totient is φ = 422434560.

The previous prime is 1144098743. The next prime is 1144098833. The reversal of 1144098800 is 88904411.

It is a super-2 number, since 2×11440988002 = 2617924128322880000, which contains 22 as substring.

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, 104810 + ... + 115209.

It is an arithmetic number, because the mean of its divisors is an integer number (49335818).

Almost surely, 21144098800 is an apocalyptic number.

1144098800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144098800 is an abundant number, since it is smaller than the sum of its proper divisors (1816050280).

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

1144098800 is a wasteful number, since it uses less digits than its factorization.

1144098800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220050 (or 220039 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 1144098800 is about 33824.5295606606. The cubic root of 1144098800 is about 1045.8944136994.

The spelling of 1144098800 in words is "one billion, one hundred forty-four million, ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 220019 440038 880076 1100095 1760152 2200190 2860247 3520304 4400380 5500475 5720494 8800760 11000950 11440988 14301235 17601520 22001900 22881976 28602470 44003800 45763952 57204940 71506175 88007600 114409880 143012350 228819760 286024700 572049400 1144098800