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45403424354340 = 22345132155908089
BaseRepresentation
bin10100101001011010011101…
…11110101111000000100100
312221202112011201010201210000
422110231032332233000210
521422342203113314330
6240322013432501300
712364201116200223
oct1224551676570044
9187675151121700
1045403424354340
1113515536424038
1251135a2b4a830
131c446a856c220
14b2d774b30cba
1553b0a97a0560
hex294b4efaf024

45403424354340 has 120 divisors (see below), whose sum is σ = 153388548787320. Its totient is φ = 11176227528192.

The previous prime is 45403424354311. The next prime is 45403424354383. The reversal of 45403424354340 is 4345342430454.

45403424354340 is a `hidden beast` number, since 4 + 5 + 40 + 3 + 4 + 24 + 3 + 543 + 40 = 666.

45403424354340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9762237793764 + 35641186560576 = 3124458^2 + 5970024^2 .

It is a super-2 number, since 2×454034243543402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1077932985 + ... + 1077975104.

It is an arithmetic number, because the mean of its divisors is an integer number (1278237906561).

Almost surely, 245403424354340 is an apocalyptic number.

It is an amenable number.

45403424354340 is an abundant number, since it is smaller than the sum of its proper divisors (107985124432980).

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

45403424354340 is a wasteful number, since it uses less digits than its factorization.

45403424354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155908123 (or 2155908112 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 45.

Adding to 45403424354340 its reverse (4345342430454), we get a palindrome (49748766784794).

The spelling of 45403424354340 in words is "forty-five trillion, four hundred three billion, four hundred twenty-four million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 2155908089 4311816178 6467724267 8623632356 10779540445 12935448534 19403172801 21559080890 25870897068 28026805157 32338621335 38806345602 43118161780 56053610314 58209518403 64677242670 77612691204 84080415471 97015864005 112107220628 116419036806 129354485340 140134025785 168160830942 174628555209 194031728010 232838073612 252241246413 280268051570 291047592015 336321661884 349257110418 388063456020 420402077355 504482492826 560536103140 582095184030 698514220836 756723739239 840804154710 873142776045 1008964985652 1164190368060 1261206232065 1513447478478 1681608309420 1746285552090 2270171217717 2522412464130 3026894956956 3492571104180 3783618696195 4540342435434 5044824928260 7567237392390 9080684870868 11350856088585 15134474784780 22701712177170 45403424354340