Search a number
-
+
54314230440 = 23352397202877
BaseRepresentation
bin110010100101011000…
…010110001010101000
312012012020210210012110
4302211120112022220
51342213420333230
640541314242320
73631646225031
oct624530261250
9165166723173
1054314230440
1121041a70258
12a6398863a0
1351778024c2
1428b36bda88
15162d4da4b0
hexca56162a8

54314230440 has 128 divisors (see below), whose sum is σ = 171780860160. Its totient is φ = 13711171584.

The previous prime is 54314230429. The next prime is 54314230441. The reversal of 54314230440 is 4403241345.

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

It is a junction number, because it is equal to n+sod(n) for n = 54314230398 and 54314230407.

It is not an unprimeable number, because it can be changed into a prime (54314230441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166282 + ... + 369158.

It is an arithmetic number, because the mean of its divisors is an integer number (1342037970).

Almost surely, 254314230440 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 54314230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85890430080).

54314230440 is an abundant number, since it is smaller than the sum of its proper divisors (117466629720).

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

54314230440 is a wasteful number, since it uses less digits than its factorization.

54314230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203011 (or 203007 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 54314230440 its reverse (4403241345), we get a palindrome (58717471785).

The spelling of 54314230440 in words is "fifty-four billion, three hundred fourteen million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 97 115 120 138 184 194 230 276 291 345 388 460 485 552 582 690 776 920 970 1164 1380 1455 1940 2231 2328 2760 2910 3880 4462 5820 6693 8924 11155 11640 13386 17848 22310 26772 33465 44620 53544 66930 89240 133860 202877 267720 405754 608631 811508 1014385 1217262 1623016 2028770 2434524 3043155 4057540 4666171 4869048 6086310 8115080 9332342 12172620 13998513 18664684 19679069 23330855 24345240 27997026 37329368 39358138 46661710 55994052 59037207 69992565 78716276 93323420 98395345 111988104 118074414 139985130 157432552 186646840 196790690 236148828 279970260 295186035 393581380 452618587 472297656 559940520 590372070 787162760 905237174 1180744140 1357855761 1810474348 2263092935 2361488280 2715711522 3620948696 4526185870 5431423044 6789278805 9052371740 10862846088 13578557610 18104743480 27157115220 54314230440