Search a number
-
+
6272114123240 = 2357312572811649
BaseRepresentation
bin101101101000101011100…
…1000100110000111101000
3211012121102102021021010222
41123101113020212013220
51310230242203420430
621201211445025212
71215100556253350
oct133212710460750
924177372237128
106272114123240
111aa8a969aa809
128536b23b5208
133665c4aba9c4
141798015abb60
15ad2434249e5
hex5b4572261e8

6272114123240 has 128 divisors (see below), whose sum is σ = 16713347328000. Its totient is φ = 2072971837440.

The previous prime is 6272114123239. The next prime is 6272114123263. The reversal of 6272114123240 is 423214112726.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 6272114123240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824936 + ... + 3636584.

It is an arithmetic number, because the mean of its divisors is an integer number (130573026000).

Almost surely, 26272114123240 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 6272114123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356673664000).

6272114123240 is an abundant number, since it is smaller than the sum of its proper divisors (10441233204760).

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

6272114123240 is a wasteful number, since it uses less digits than its factorization.

6272114123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811955 (or 2811951 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

Adding to 6272114123240 its reverse (423214112726), we get a palindrome (6695328235966).

The spelling of 6272114123240 in words is "six trillion, two hundred seventy-two billion, one hundred fourteen million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 257 280 310 434 514 620 868 1028 1085 1240 1285 1736 1799 2056 2170 2570 3598 4340 5140 7196 7967 8680 8995 10280 14392 15934 17990 31868 35980 39835 55769 63736 71960 79670 111538 159340 223076 278845 318680 446152 557690 1115380 2230760 2811649 5623298 11246596 14058245 19681543 22493192 28116490 39363086 56232980 78726172 87161119 98407715 112465960 157452344 174322238 196815430 348644476 393630860 435805595 610127833 697288952 722593793 787261720 871611190 1220255666 1445187586 1743222380 2440511332 2890375172 3050639165 3486444760 3612968965 4881022664 5058156551 5780750344 6101278330 7225937930 10116313102 12202556660 14451875860 20232626204 22400407583 24405113320 25290782755 28903751720 40465252408 44800815166 50581565510 89601630332 101163131020 112002037915 156802853081 179203260664 202326262040 224004075830 313605706162 448008151660 627211412324 784014265405 896016303320 1254422824648 1568028530810 3136057061620 6272114123240