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1441505000 = 23541367331
BaseRepresentation
bin101010111101011…
…1001111011101000
310201110110001010002
41111322321323220
510423011130000
6355012242132
750502406325
oct12572717350
93643401102
101441505000
1167a768051
12342910348
1319c851350
14d9637b4c
15868428d5
hex55eb9ee8

1441505000 has 160 divisors (see below), whose sum is σ = 3702689760. Its totient is φ = 522720000.

The previous prime is 1441504997. The next prime is 1441505029. The reversal of 1441505000 is 5051441.

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4354835 + ... + 4355165.

It is an arithmetic number, because the mean of its divisors is an integer number (23141811).

Almost surely, 21441505000 is an apocalyptic number.

1441505000 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 1441505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851344880).

1441505000 is an abundant number, since it is smaller than the sum of its proper divisors (2261184760).

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

1441505000 is a wasteful number, since it uses less digits than its factorization.

1441505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1441505000 is about 37967.1568595806. The cubic root of 1441505000 is about 1129.6365030222.

Adding to 1441505000 its reverse (5051441), we get a palindrome (1446556441).

The spelling of 1441505000 in words is "one billion, four hundred forty-one million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 67 100 104 125 130 134 200 250 260 268 325 331 335 500 520 536 625 650 662 670 871 1000 1250 1300 1324 1340 1625 1655 1675 1742 2500 2600 2648 2680 3250 3310 3350 3484 4303 4355 5000 6500 6620 6700 6968 8125 8275 8375 8606 8710 13000 13240 13400 16250 16550 16750 17212 17420 21515 21775 22177 32500 33100 33500 34424 34840 41375 41875 43030 43550 44354 65000 66200 67000 82750 83750 86060 87100 88708 107575 108875 110885 165500 167500 172120 174200 177416 206875 215150 217750 221770 288301 331000 335000 413750 430300 435500 443540 537875 544375 554425 576602 827500 860600 871000 887080 1075750 1088750 1108850 1153204 1441505 1655000 2151500 2177500 2217700 2306408 2689375 2772125 2883010 4303000 4355000 4435400 5378750 5544250 5766020 7207525 10757500 11088500 11532040 13860625 14415050 21515000 22177000 27721250 28830100 36037625 55442500 57660200 72075250 110885000 144150500 180188125 288301000 360376250 720752500 1441505000