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441434040413226 = 237372271251379247
BaseRepresentation
bin110010001011110110101111…
…1001010111010110000101010
32010212222200102021020002021120
41210113231133022322300222
5430324423403321210401
64202503555410120110
7161660362015260360
oct14427553712726052
92125880367202246
10441434040413226
11118722141719273
1241614a5ab80036
1315c41088bb5813
147b0174320b630
153607aa468d836
hex1917b5f2bac2a

441434040413226 has 64 divisors (see below), whose sum is σ = 1040827181248512. Its totient is φ = 122174658545472.

The previous prime is 441434040413221. The next prime is 441434040413227. The reversal of 441434040413226 is 622314040434144.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (441434040413221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625336866 + ... + 626042381.

It is an arithmetic number, because the mean of its divisors is an integer number (16262924707008).

Almost surely, 2441434040413226 is an apocalyptic number.

441434040413226 is an abundant number, since it is smaller than the sum of its proper divisors (599393140835286).

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

441434040413226 is a wasteful number, since it uses less digits than its factorization.

441434040413226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251379523.

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 441434040413226 in words is "four hundred forty-one trillion, four hundred thirty-four billion, forty million, four hundred thirteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 227 259 454 518 681 777 1362 1554 1589 3178 4767 8399 9534 16798 25197 50394 58793 117586 176379 352758 1251379247 2502758494 3754137741 7508275482 8759654729 17519309458 26278964187 46301032139 52557928374 92602064278 138903096417 277806192834 284063089069 324107224973 568126178138 648214449946 852189267207 972321674919 1704378534414 1944643349838 1988441623483 3976883246966 5965324870449 10510334295553 11930649740898 21020668591106 31531002886659 63062005773318 73572340068871 147144680137742 220717020206613 441434040413226