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2144034560 = 28517372663
BaseRepresentation
bin111111111001011…
…0101111100000000
312112102101020111102
41333302311330000
513342333101220
6552430033532
7104062664423
oct17762657400
95472336442
102144034560
11a00284998
124ba0488a8
13282267c05
14164a6d9ba
15c8364775
hex7fcb5f00

2144034560 has 144 divisors (see below), whose sum is σ = 5586791616. Its totient is φ = 785055744.

The previous prime is 2144034559. The next prime is 2144034587. The reversal of 2144034560 is 654304412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803789 + ... + 806451.

It is an arithmetic number, because the mean of its divisors is an integer number (38797164).

Almost surely, 22144034560 is an apocalyptic number.

2144034560 is a gapful number since it is divisible by the number (20) 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 2144034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793395808).

2144034560 is an abundant number, since it is smaller than the sum of its proper divisors (3442757056).

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

2144034560 is a wasteful number, since it uses less digits than its factorization.

2144034560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2144034560 is about 46303.7208008169. The cubic root of 2144034560 is about 1289.4680738641.

Adding to 2144034560 its reverse (654304412), we get a palindrome (2798338972).

The spelling of 2144034560 in words is "two billion, one hundred forty-four million, thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 64 68 74 80 85 128 136 148 160 170 185 256 272 296 320 340 370 544 592 629 640 680 740 1088 1184 1258 1280 1360 1480 2176 2368 2516 2663 2720 2960 3145 4352 4736 5032 5326 5440 5920 6290 9472 10064 10652 10880 11840 12580 13315 20128 21304 21760 23680 25160 26630 40256 42608 45271 47360 50320 53260 80512 85216 90542 98531 100640 106520 161024 170432 181084 197062 201280 213040 226355 340864 362168 394124 402560 426080 452710 492655 681728 724336 788248 805120 852160 905420 985310 1448672 1576496 1675027 1704320 1810840 1970620 2897344 3152992 3350054 3408640 3621680 3941240 5794688 6305984 6700108 7243360 7882480 8375135 11589376 12611968 13400216 14486720 15764960 16750270 25223936 26800432 28973440 31529920 33500540 53600864 57946880 63059840 67001080 107201728 126119680 134002160 214403456 268004320 428806912 536008640 1072017280 2144034560