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54440510124 = 223711132348629
BaseRepresentation
bin110010101100111010…
…000100001010101100
312012112001102110100210
4302230322010022230
51342443232310444
641002025022420
73635041462260
oct625472041254
9165461373323
1054440510124
11210a7281030
12a674024a10
135197a17800
1428c63920a0
1516396317b9
hexcace842ac

54440510124 has 144 divisors (see below), whose sum is σ = 171492491520. Its totient is φ = 13052632320.

The previous prime is 54440510093. The next prime is 54440510129. The reversal of 54440510124 is 42101504445.

It is a super-2 number, since 2×544405101242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54440510091 and 54440510100.

It is not an unprimeable number, because it can be changed into a prime (54440510129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18159 + ... + 330470.

It is an arithmetic number, because the mean of its divisors is an integer number (1190920080).

Almost surely, 254440510124 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 54440510124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85746245760).

54440510124 is an abundant number, since it is smaller than the sum of its proper divisors (117051981396).

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

54440510124 is a wasteful number, since it uses less digits than its factorization.

54440510124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348680 (or 348665 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 54440510124 in words is "fifty-four billion, four hundred forty million, five hundred ten thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 169 182 231 273 286 308 338 364 429 462 507 546 572 676 858 924 1001 1014 1092 1183 1716 1859 2002 2028 2366 3003 3549 3718 4004 4732 5577 6006 7098 7436 11154 12012 13013 14196 22308 26026 39039 52052 78078 156156 348629 697258 1045887 1394516 2091774 2440403 3834919 4183548 4532177 4880806 7321209 7669838 9064354 9761612 11504757 13596531 14642418 15339676 18128708 23009514 26844433 27193062 29284836 31725239 46019028 49853947 53688866 54386124 58918301 63450478 80533299 95175717 99707894 107377732 117836602 126900956 149561841 161066598 176754903 190351434 199415788 235673204 299123682 322133196 348977629 353509806 380702868 412428107 598247364 648101311 697955258 707019612 824856214 1046932887 1237284321 1296202622 1395910516 1649712428 1944303933 2093865774 2474568642 2592405244 3888607866 4187731548 4536709177 4949137284 7777215732 9073418354 13610127531 18146836708 27220255062 54440510124