Search a number
-
+
4214121870 = 2357232833083
BaseRepresentation
bin1111101100101110…
…0110010110001110
3101212200121120102210
43323023212112032
532112303344440
61534055131250
7206300305410
oct37313462616
911780546383
104214121870
111872842152
12997373b26
135220b174a
142bd9709b0
15199e6da80
hexfb2e658e

4214121870 has 128 divisors (see below), whose sum is σ = 12107833344. Its totient is φ = 917794944.

The previous prime is 4214121869. The next prime is 4214121883. The reversal of 4214121870 is 781214124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1365349 + ... + 1368431.

It is an arithmetic number, because the mean of its divisors is an integer number (94592448).

Almost surely, 24214121870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214121870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053916672).

4214121870 is an abundant number, since it is smaller than the sum of its proper divisors (7893711474).

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

4214121870 is a wasteful number, since it uses less digits than its factorization.

4214121870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406.

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 4214121870 is about 64916.2681459740. The cubic root of 4214121870 is about 1615.2349270210.

Adding to 4214121870 its reverse (781214124), we get a palindrome (4995335994).

The spelling of 4214121870 in words is "four billion, two hundred fourteen million, one hundred twenty-one thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 283 322 345 483 566 690 805 849 966 1415 1610 1698 1981 2415 2830 3083 3962 4245 4830 5943 6166 6509 8490 9249 9905 11886 13018 15415 18498 19527 19810 21581 29715 30830 32545 39054 43162 45563 46245 59430 64743 65090 70909 91126 92490 97635 107905 129486 136689 141818 195270 212727 215810 227815 273378 323715 354545 425454 455630 496363 647430 683445 709090 872489 992726 1063635 1366890 1489089 1744978 2127270 2481815 2617467 2978178 4362445 4963630 5234934 6107423 7445445 8724890 12214846 13087335 14890890 18322269 20067247 26174670 30537115 36644538 40134494 60201741 61074230 91611345 100336235 120403482 140470729 183222690 200672470 280941458 301008705 421412187 602017410 702353645 842824374 1404707290 2107060935 4214121870