Search a number
-
+
2141254710 = 233577914341
BaseRepresentation
bin111111110100000…
…1111010000110110
312112020011000021000
41333220033100312
513341130122320
6552250304130
7104030236050
oct17750172066
95466130230
102141254710
119a97563a1
124b9128046
1328180382a
141645488d0
15c7eb5c90
hex7fa0f436

2141254710 has 128 divisors (see below), whose sum is σ = 6608793600. Its totient is φ = 483200640.

The previous prime is 2141254699. The next prime is 2141254711. The reversal of 2141254710 is 174521412.

It is a super-3 number, since 3×21412547103 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141254711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142140 + ... + 156480.

It is an arithmetic number, because the mean of its divisors is an integer number (51631200).

Almost surely, 22141254710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141254710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304396800).

2141254710 is an abundant number, since it is smaller than the sum of its proper divisors (4467538890).

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

2141254710 is a wasteful number, since it uses less digits than its factorization.

2141254710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14443 (or 14437 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2141254710 is about 46273.6934985743. The cubic root of 2141254710 is about 1288.9105458306.

The spelling of 2141254710 in words is "two billion, one hundred forty-one million, two hundred fifty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 79 90 105 126 135 158 189 210 237 270 315 378 395 474 553 630 711 790 945 1106 1185 1422 1659 1890 2133 2370 2765 3318 3555 4266 4977 5530 7110 8295 9954 10665 14341 14931 16590 21330 24885 28682 29862 43023 49770 71705 74655 86046 100387 129069 143410 149310 200774 215115 258138 301161 387207 430230 501935 602322 645345 774414 903483 1003870 1132939 1290690 1505805 1806966 1936035 2265878 2710449 3011610 3398817 3872070 4517415 5420898 5664695 6797634 7930573 9034830 10196451 11329390 13552245 15861146 16994085 20392902 23791719 27104490 30589353 33988170 39652865 47583438 50982255 61178706 71375157 79305730 101964510 118958595 142750314 152946765 214125471 237917190 305893530 356875785 428250942 713751570 1070627355 2141254710