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2140144480 = 25523718191
BaseRepresentation
bin111111110010000…
…0000001101100000
312112011001121022101
41333210000031200
513340334110410
6552210420144
7104014633165
oct17744001540
95464047271
102140144480
119a9068251
124b8891654
132815053a6
1416433a06c
15c7d46d3a
hex7f900360

2140144480 has 96 divisors (see below), whose sum is σ = 5350883328. Its totient is φ = 807206400.

The previous prime is 2140144471. The next prime is 2140144481. The reversal of 2140144480 is 844410412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140144481) 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, 257185 + ... + 265375.

It is an arithmetic number, because the mean of its divisors is an integer number (55738368).

Almost surely, 22140144480 is an apocalyptic number.

2140144480 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 2140144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675441664).

2140144480 is an abundant number, since it is smaller than the sum of its proper divisors (3210738848).

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

2140144480 is a wasteful number, since it uses less digits than its factorization.

2140144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2140144480 is about 46261.6956023015. The cubic root of 2140144480 is about 1288.6877427329.

Adding to 2140144480 its reverse (844410412), we get a palindrome (2984554892).

The spelling of 2140144480 in words is "two billion, one hundred forty million, one hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 71 80 92 115 142 160 184 230 284 355 368 460 568 710 736 920 1136 1420 1633 1840 2272 2840 3266 3680 5680 6532 8165 8191 11360 13064 16330 16382 26128 32660 32764 40955 52256 65320 65528 81910 130640 131056 163820 188393 261280 262112 327640 376786 581561 655280 753572 941965 1163122 1310560 1507144 1883930 2326244 2907805 3014288 3767860 4652488 5815610 6028576 7535720 9304976 11631220 13375903 15071440 18609952 23262440 26751806 30142880 46524880 53503612 66879515 93049760 107007224 133759030 214014448 267518060 428028896 535036120 1070072240 2140144480