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2141455040 = 26519438191
BaseRepresentation
bin111111110100100…
…0000001011000000
312112020112012001122
41333221000023000
513341203030130
6552254451412
7104032032104
oct17751001300
95466465048
102141455040
119a988295a
124b9203b68
13281873a7a
1416459b904
15c80052e5
hex7fa402c0

2141455040 has 112 divisors (see below), whose sum is σ = 5493227520. Its totient is φ = 792529920.

The previous prime is 2141455039. The next prime is 2141455049. The reversal of 2141455040 is 405541412.

It is not an unprimeable number, because it can be changed into a prime (2141455049) 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, 257345 + ... + 265535.

Almost surely, 22141455040 is an apocalyptic number.

2141455040 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 2141455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746613760).

2141455040 is an abundant number, since it is smaller than the sum of its proper divisors (3351772480).

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

2141455040 is a wasteful number, since it uses less digits than its factorization.

2141455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2141455040 is about 46275.8580687598. The cubic root of 2141455040 is about 1288.9507402388.

Adding to 2141455040 its reverse (405541412), we get a palindrome (2546996452).

The spelling of 2141455040 in words is "two billion, one hundred forty-one million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 64 76 80 86 95 152 160 172 190 215 304 320 344 380 430 608 688 760 817 860 1216 1376 1520 1634 1720 2752 3040 3268 3440 4085 6080 6536 6880 8170 8191 13072 13760 16340 16382 26144 32680 32764 40955 52288 65360 65528 81910 130720 131056 155629 163820 261440 262112 311258 327640 352213 524224 622516 655280 704426 778145 1245032 1310560 1408852 1556290 1761065 2490064 2621120 2817704 3112580 3522130 4980128 5635408 6225160 6692047 7044260 9960256 11270816 12450320 13384094 14088520 22541632 24900640 26768188 28177040 33460235 49801280 53536376 56354080 66920470 107072752 112708160 133840940 214145504 267681880 428291008 535363760 1070727520 2141455040