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1444515540 = 2235135233541
BaseRepresentation
bin101011000011001…
…1000111011010100
310201200002222210120
41112012120323110
510424243444130
6355200551540
750540115366
oct12606307324
93650088716
101444515540
116814339a6
123439225b0
131a0366730
14d9bbcd36
1586c39910
hex56198ed4

1444515540 has 96 divisors (see below), whose sum is σ = 4365330816. Its totient is φ = 354792960.

The previous prime is 1444515539. The next prime is 1444515559. The reversal of 1444515540 is 455154441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406170 + ... + 409710.

It is an arithmetic number, because the mean of its divisors is an integer number (45472196).

Almost surely, 21444515540 is an apocalyptic number.

1444515540 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 1444515540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182665408).

1444515540 is an abundant number, since it is smaller than the sum of its proper divisors (2920815276).

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

1444515540 is a wasteful number, since it uses less digits than its factorization.

1444515540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 1444515540 is about 38006.7828157028. The cubic root of 1444515540 is about 1130.4223601924.

Adding to 1444515540 its reverse (455154441), we get a palindrome (1899669981).

The spelling of 1444515540 in words is "one billion, four hundred forty-four million, five hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 523 780 1046 1569 2092 2615 3138 3541 5230 6276 6799 7082 7845 10460 10623 13598 14164 15690 17705 20397 21246 27196 31380 33995 35410 40794 42492 46033 53115 67990 70820 81588 92066 101985 106230 135980 138099 184132 203970 212460 230165 276198 407940 460330 552396 690495 920660 1380990 1851943 2761980 3703886 5555829 7407772 9259715 11111658 18519430 22223316 24075259 27779145 37038860 48150518 55558290 72225777 96301036 111116580 120376295 144451554 240752590 288903108 361128885 481505180 722257770 1444515540