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1441310240 = 255157181317
BaseRepresentation
bin101010111101000…
…1010011000100000
310201110002010221202
41111322022120200
510422433411430
6355004140332
750500635446
oct12572123040
93643063852
101441310240
1167a644797
123428376a8
1319c7b37c6
14d95c6b96
1586804d45
hex55e8a620

1441310240 has 96 divisors (see below), whose sum is σ = 3456586224. Its totient is φ = 567889920.

The previous prime is 1441310239. The next prime is 1441310243. The reversal of 1441310240 is 420131441.

It can be written as a sum of positive squares in 8 ways, for example, as 44944 + 1441265296 = 212^2 + 37964^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1441310243) by changing a digit.

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, 4546562 + ... + 4546878.

Almost surely, 21441310240 is an apocalyptic number.

1441310240 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 1441310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728293112).

1441310240 is an abundant number, since it is smaller than the sum of its proper divisors (2015275984).

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

1441310240 is a wasteful number, since it uses less digits than its factorization.

1441310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

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

The square root of 1441310240 is about 37964.5919245815. The cubic root of 1441310240 is about 1129.5856261228.

Adding to 1441310240 its reverse (420131441), we get a palindrome (1861441681).

The spelling of 1441310240 in words is "one billion, four hundred forty-one million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 181 314 317 362 628 634 724 785 905 1256 1268 1448 1570 1585 1810 2512 2536 2896 3140 3170 3620 5024 5072 5792 6280 6340 7240 10144 12560 12680 14480 25120 25360 28417 28960 49769 50720 56834 57377 99538 113668 114754 142085 199076 227336 229508 248845 284170 286885 398152 454672 459016 497690 568340 573770 796304 909344 918032 995380 1136680 1147540 1592608 1836064 1990760 2273360 2295080 3981520 4546720 4590160 7963040 9008189 9180320 18016378 36032756 45040945 72065512 90081890 144131024 180163780 288262048 360327560 720655120 1441310240