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2141143040 = 214559443
BaseRepresentation
bin111111110011111…
…0100000000000000
312112012221100002002
41333213310000000
513341113034130
6552244043132
7104026262351
oct17747640000
95465840062
102141143040
119a968a503
124b90934a8
13281794a5a
14164519d28
15c7e92b45
hex7f9f4000

2141143040 has 120 divisors (see below), whose sum is σ = 5237477280. Its totient is φ = 840040448.

The previous prime is 2141143031. The next prime is 2141143057. The reversal of 2141143040 is 403411412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4833059 + ... + 4833501.

It is an arithmetic number, because the mean of its divisors is an integer number (43645644).

Almost surely, 22141143040 is an apocalyptic number.

2141143040 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 2141143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618738640).

2141143040 is an abundant number, since it is smaller than the sum of its proper divisors (3096334240).

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

2141143040 is an frugal number, since it uses more digits than its factorization.

2141143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2141143040 is about 46272.4868577430. The cubic root of 2141143040 is about 1288.8881391637. Note that the first 3 decimals are identical.

Adding to 2141143040 its reverse (403411412), we get a palindrome (2544554452).

The spelling of 2141143040 in words is "two billion, one hundred forty-one million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 256 295 320 443 472 512 590 640 886 944 1024 1180 1280 1772 1888 2048 2215 2360 2560 3544 3776 4096 4430 4720 5120 7088 7552 8192 8860 9440 10240 14176 15104 16384 17720 18880 20480 26137 28352 30208 35440 37760 40960 52274 56704 60416 70880 75520 81920 104548 113408 120832 130685 141760 151040 209096 226816 241664 261370 283520 302080 418192 453632 483328 522740 567040 604160 836384 907264 966656 1045480 1134080 1208320 1672768 1814528 2090960 2268160 2416640 3345536 3629056 4181920 4536320 4833280 6691072 7258112 8363840 9072640 13382144 16727680 18145280 26764288 33455360 36290560 53528576 66910720 107057152 133821440 214114304 267642880 428228608 535285760 1070571520 2141143040