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5514301440 = 21232529917
BaseRepresentation
bin1010010001010110…
…11001000000000000
3112020022010112111200
411020223121000000
542243130121230
62311102341200
7253435534404
oct51053310000
915208115450
105514301440
11237a75231a
12109a88a800
1369b58037b
143a44db104
15224197160
hex148ad9000

5514301440 has 156 divisors (see below), whose sum is σ = 19114550364. Its totient is φ = 1470431232.

The previous prime is 5514301439. The next prime is 5514301447. The reversal of 5514301440 is 441034155.

It is a happy number.

5514301440 is a `hidden beast` number, since 5 + 514 + 3 + 0 + 144 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3681091584 + 1833209856 = 60672^2 + 42816^2 .

It is not an unprimeable number, because it can be changed into a prime (5514301447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169362 + ... + 199278.

It is an arithmetic number, because the mean of its divisors is an integer number (122529169).

Almost surely, 25514301440 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 5514301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557275182).

5514301440 is an abundant number, since it is smaller than the sum of its proper divisors (13600248924).

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

5514301440 is a wasteful number, since it uses less digits than its factorization.

5514301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29952 (or 29927 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5514301440 is about 74258.3425616274. The cubic root of 5514301440 is about 1766.7028151300.

Adding to 5514301440 its reverse (441034155), we get a palindrome (5955335595).

The spelling of 5514301440 in words is "five billion, five hundred fourteen million, three hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 29917 30720 36864 46080 59834 61440 89751 92160 119668 149585 179502 184320 239336 269253 299170 359004 448755 478672 538506 598340 718008 897510 957344 1077012 1196680 1346265 1436016 1795020 1914688 2154024 2393360 2692530 2872032 3590040 3829376 4308048 4786720 5385060 5744064 7180080 7658752 8616096 9573440 10770120 11488128 14360160 15317504 17232192 19146880 21540240 22976256 28720320 30635008 34464384 38293760 43080480 45952512 57440640 61270016 68928768 76587520 86160960 91905024 114881280 122540032 137857536 153175040 172321920 183810048 229762560 275715072 306350080 344643840 367620096 459525120 551430144 612700160 689287680 919050240 1102860288 1378575360 1838100480 2757150720 5514301440