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5040314220144 = 2437231009646397
BaseRepresentation
bin100100101011000101000…
…1000110111111001110000
3122211211221011102200220210
41021112022020313321300
51130040030420021034
614415253254104120
71030102453656510
oct111261210677160
918754834380823
105040314220144
111673648a81875
12694a1b04b040
132a73b8282cb8
14135d49989840
158b19bac58e9
hex4958a237e70

5040314220144 has 160 divisors (see below), whose sum is σ = 15543338019840. Its totient is φ = 1376109858816.

The previous prime is 5040314220131. The next prime is 5040314220169. The reversal of 5040314220144 is 4410224130405.

It is a congruent number.

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, 7474354 + ... + 8120750.

It is an arithmetic number, because the mean of its divisors is an integer number (97145862624).

Almost surely, 25040314220144 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 5040314220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7771669009920).

5040314220144 is an abundant number, since it is smaller than the sum of its proper divisors (10503023799696).

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

5040314220144 is a wasteful number, since it uses less digits than its factorization.

5040314220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647447 (or 647441 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 5040314220144 its reverse (4410224130405), we get a palindrome (9450538350549).

The spelling of 5040314220144 in words is "five trillion, forty billion, three hundred fourteen million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1009 1104 1288 1932 2018 2576 3027 3864 4036 6054 7063 7728 8072 12108 14126 16144 21189 23207 24216 28252 42378 46414 48432 56504 69621 84756 92828 113008 139242 162449 169512 185656 278484 324898 339024 371312 487347 556968 646397 649796 974694 1113936 1292794 1299592 1939191 1949388 2585588 2599184 3878382 3898776 4524779 5171176 7756764 7797552 9049558 10342352 13574337 14867131 15513528 18099116 27148674 29734262 31027056 36198232 44601393 54297348 59468524 72396464 89202786 104069917 108594696 118937048 178405572 208139834 217189392 237874096 312209751 356811144 416279668 624419502 652214573 713622288 832559336 1248839004 1304429146 1665118672 1956643719 2497678008 2608858292 3913287438 4565502011 4995356016 5217716584 7826574876 9131004022 10435433168 13696506033 15000935179 15653149752 18262008044 27393012066 30001870358 31306299504 36524016088 45002805537 54786024132 60003740716 73048032176 90005611074 105006546253 109572048264 120007481432 180011222148 210013092506 219144096528 240014962864 315019638759 360022444296 420026185012 630039277518 720044888592 840052370024 1260078555036 1680104740048 2520157110072 5040314220144