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45451025330440 = 23517432571760443
BaseRepresentation
bin10100101010110011001000…
…01110000011000100001000
312221221002001002202212021211
422111121210032003010020
521424132144441033230
6240355525054542504
712400504530623212
oct1225314416030410
9187832032685254
1045451025330440
1113533742990a04
125120868507a34
131c490232a5682
14b31bac9b75b2
1553c44371342a
hex295664383108

45451025330440 has 128 divisors (see below), whose sum is σ = 110804673893760. Its totient is φ = 16712118226944.

The previous prime is 45451025330377. The next prime is 45451025330441. The reversal of 45451025330440 is 4403352015454.

It is a super-2 number, since 2×454510253304402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 45451025330393 and 45451025330402.

It is not an unprimeable number, because it can be changed into a prime (45451025330441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751934859 + ... + 751995301.

It is an arithmetic number, because the mean of its divisors is an integer number (865661514795).

Almost surely, 245451025330440 is an apocalyptic number.

45451025330440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45451025330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55402336946880).

45451025330440 is an abundant number, since it is smaller than the sum of its proper divisors (65353648563320).

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

45451025330440 is a wasteful number, since it uses less digits than its factorization.

45451025330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86231 (or 86227 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 45451025330440 its reverse (4403352015454), we get a palindrome (49854377345894).

The spelling of 45451025330440 in words is "forty-five trillion, four hundred fifty-one billion, twenty-five million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2924 3655 5848 7310 14620 25717 29240 51434 60443 102868 120886 128585 205736 241772 257170 302215 437189 483544 514340 604430 874378 1027531 1028680 1105831 1208860 1748756 2055062 2185945 2211662 2417720 2599049 3497512 4110124 4371890 4423324 5137655 5198098 5529155 8220248 8743780 8846648 10275310 10396196 11058310 12995245 17487560 18799127 20550620 20792392 22116620 25990490 37598254 41101240 44183833 44233240 51980980 75196508 88367666 93995635 103961960 150393016 176735332 187991270 220919165 353470664 375982540 441838330 751965080 883676660 1554412631 1767353320 3108825262 6217650524 7772063155 12435301048 15544126310 26425014727 31088252620 52850029454 62176505240 66839743133 105700058908 132125073635 133679486266 211400117816 264250147270 267358972532 334198715665 528500294540 534717945064 668397431330 1057000589080 1136275633261 1336794862660 2272551266522 2673589725320 4545102533044 5681378166305 9090205066088 11362756332610 22725512665220 45451025330440