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45143311200 = 25352131446901
BaseRepresentation
bin101010000010110000…
…000100001101100000
311022112010002211001220
4222002300010031200
51214423141424300
632423305455040
73155456546121
oct520260041540
9138463084056
1045143311200
1118166249959
1288ba4a1480
13434580a680
1422836d6048
1512932eada0
hexa82c04360

45143311200 has 144 divisors (see below), whose sum is σ = 158244777936. Its totient is φ = 11112192000.

The previous prime is 45143311123. The next prime is 45143311223. The reversal of 45143311200 is 211334154.

It is a happy number.

It is a super-2 number, since 2×451433112002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692251 + ... + 754650.

It is an arithmetic number, because the mean of its divisors is an integer number (1098922069).

Almost surely, 245143311200 is an apocalyptic number.

45143311200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45143311200 is an abundant number, since it is smaller than the sum of its proper divisors (113101466736).

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

45143311200 is a wasteful number, since it uses less digits than its factorization.

45143311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446937 (or 1446924 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 45143311200 its reverse (211334154), we get a palindrome (45354645354).

The spelling of 45143311200 in words is "forty-five billion, one hundred forty-three million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 1446901 2893802 4340703 5787604 7234505 8681406 11575208 14469010 17362812 18809713 21703515 23150416 28938020 34725624 36172525 37619426 43407030 46300832 56429139 57876040 69451248 72345050 75238852 86814060 94048565 108517575 112858278 115752080 138902496 144690100 150477704 173628120 188097130 217035150 225716556 231504160 282145695 289380200 300955408 347256240 376194260 434070300 451433112 470242825 564291390 578760400 601910816 694512480 752388520 868140600 902866224 940485650 1128582780 1157520800 1410728475 1504777040 1736281200 1805732448 1880971300 2257165560 2821456950 3009554080 3472562400 3761942600 4514331120 5642913900 7523885200 9028662240 11285827800 15047770400 22571655600 45143311200