Search a number
-
+
4102371140 = 2257243671453
BaseRepresentation
bin1111010010000101…
…0011011101000100
3101120220100001020212
43310201103131010
531400201334030
61515024014552
7203442402500
oct36441233504
911526301225
104102371140
11181575517a
12965a61458
13504bb555a
142acba1300
15190247595
hexf4853744

4102371140 has 144 divisors (see below), whose sum is σ = 10414780992. Its totient is φ = 1352381184.

The previous prime is 4102371139. The next prime is 4102371157. The reversal of 4102371140 is 411732014.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2822654 + ... + 2824106.

It is an arithmetic number, because the mean of its divisors is an integer number (72324868).

Almost surely, 24102371140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102371140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207390496).

4102371140 is an abundant number, since it is smaller than the sum of its proper divisors (6312409852).

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

4102371140 is a wasteful number, since it uses less digits than its factorization.

4102371140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 4102371140 is about 64049.7551907890. The cubic root of 4102371140 is about 1600.8291457699.

The spelling of 4102371140 in words is "four billion, one hundred two million, three hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 67 70 86 98 134 140 172 196 215 245 268 301 335 430 469 490 602 670 860 938 980 1204 1340 1453 1505 1876 2107 2345 2881 2906 3010 3283 4214 4690 5762 5812 6020 6566 7265 8428 9380 10171 10535 11524 13132 14405 14530 16415 20167 20342 21070 28810 29060 32830 40334 40684 42140 50855 57620 62479 65660 71197 80668 97351 100835 101710 124958 141169 142394 194702 201670 203420 249916 282338 284788 312395 355985 389404 403340 437353 486755 564676 624790 681457 705845 711970 874706 973510 1249580 1362914 1411690 1423940 1749412 1947020 2186765 2725828 2823380 3061471 3407285 4186093 4373530 4770199 6122942 6814570 8372186 8747060 9540398 12245884 13629140 15307355 16744372 19080796 20930465 23850995 29302651 30614710 41860930 47701990 58605302 61229420 83721860 95403980 117210604 146513255 205118557 293026510 410237114 586053020 820474228 1025592785 2051185570 4102371140