Search a number
-
+
5140055562252 = 223131631447139697
BaseRepresentation
bin100101011001100001100…
…1011111001100000001100
3200012101101022100212020120
41022303003023321200030
51133203313210443002
614533150421144540
71040233240253412
oct112630313714014
920171338325216
105140055562252
111701981400416
126b021625b150
132b392230b320
1413aacc5192b2
158da8826acbc
hex4acc32f980c

5140055562252 has 96 divisors (see below), whose sum is σ = 13004350474752. Its totient is φ = 1570755234816.

The previous prime is 5140055562247. The next prime is 5140055562253. The reversal of 5140055562252 is 2522655500415.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5140055562253) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36724468 + ... + 36864164.

It is an arithmetic number, because the mean of its divisors is an integer number (135461984112).

Almost surely, 25140055562252 is an apocalyptic number.

5140055562252 is a gapful number since it is divisible by the number (52) 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 5140055562252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502175237376).

5140055562252 is an abundant number, since it is smaller than the sum of its proper divisors (7864294912500).

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

5140055562252 is a wasteful number, since it uses less digits than its factorization.

5140055562252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141327 (or 141325 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 5140055562252 in words is "five trillion, one hundred forty billion, fifty-five million, five hundred sixty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 163 326 489 652 978 1447 1956 2119 2894 4238 4341 5788 6357 8476 8682 12714 17364 18811 25428 37622 56433 75244 112866 139697 225732 235861 279394 419091 471722 558788 707583 838182 943444 1415166 1676364 1816061 2830332 3066193 3632122 5448183 6132386 7264244 9198579 10896366 12264772 18397158 21792732 22770611 36794316 45541222 68311833 91082444 136623666 202141559 273247332 296017943 404283118 592035886 606424677 808566236 888053829 1184071772 1212849354 1776107658 2425698708 2627840267 3552215316 5255680534 7883520801 10511361068 15767041602 31534083204 32949074117 65898148234 98847222351 131796296468 197694444702 395388889404 428337963521 856675927042 1285013890563 1713351854084 2570027781126 5140055562252