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1144123040 = 25523417583
BaseRepresentation
bin100010000110001…
…1110111010100000
32221201212110202102
41010030132322200
54320343414130
6305310305532
740231612454
oct10414367240
92851773672
101144123040
11537911635
1227b1b82a8
1315305c0a8
14abd46664
156a69e645
hex4431eea0

1144123040 has 96 divisors (see below), whose sum is σ = 2889686016. Its totient is φ = 427018240.

The previous prime is 1144123037. The next prime is 1144123093. The reversal of 1144123040 is 403214411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 147089 + ... + 154671.

It is an arithmetic number, because the mean of its divisors is an integer number (30100896).

Almost surely, 21144123040 is an apocalyptic number.

1144123040 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 1144123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444843008).

1144123040 is an abundant number, since it is smaller than the sum of its proper divisors (1745562976).

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

1144123040 is a wasteful number, since it uses less digits than its factorization.

1144123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7662 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1144123040 is about 33824.8878786021. The cubic root of 1144123040 is about 1045.9018000957.

Adding to 1144123040 its reverse (403214411), we get a palindrome (1547337451).

The spelling of 1144123040 in words is "one billion, one hundred forty-four million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 80 82 92 115 160 164 184 205 230 328 368 410 460 656 736 820 920 943 1312 1640 1840 1886 3280 3680 3772 4715 6560 7544 7583 9430 15088 15166 18860 30176 30332 37720 37915 60664 75440 75830 121328 150880 151660 174409 242656 303320 310903 348818 606640 621806 697636 872045 1213280 1243612 1395272 1554515 1744090 2487224 2790544 3109030 3488180 4974448 5581088 6218060 6976360 7150769 9948896 12436120 13952720 14301538 24872240 27905440 28603076 35753845 49744480 57206152 71507690 114412304 143015380 228824608 286030760 572061520 1144123040