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4420457342433 = 321131273962873
BaseRepresentation
bin100000001010011011111…
…0010100010010111100001
3120122120222021100202001100
41000110313302202113201
51034411044034424213
613222421410025013
7634240024310646
oct100246762422741
916576867322040
104420457342433
111454783a24140
125b486a278169
13260b027ac412
14113d46437dcd
1579ebd85d773
hex40537ca25e1

4420457342433 has 72 divisors (see below), whose sum is σ = 7207367338080. Its totient is φ = 2589094108800.

The previous prime is 4420457342417. The next prime is 4420457342461. The reversal of 4420457342433 is 3342437540244.

4420457342433 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 4 + 573 + 42 + 4 + 33 = 666.

It is not a de Polignac number, because 4420457342433 - 24 = 4420457342417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4420457342473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70276285 + ... + 70339157.

It is an arithmetic number, because the mean of its divisors is an integer number (100102324140).

Almost surely, 24420457342433 is an apocalyptic number.

It is an amenable number.

4420457342433 is a deficient number, since it is larger than the sum of its proper divisors (2786909995647).

4420457342433 is a wasteful number, since it uses less digits than its factorization.

4420457342433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63691 (or 63657 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 45.

The spelling of 4420457342433 in words is "four trillion, four hundred twenty billion, four hundred fifty-seven million, three hundred forty-two thousand, four hundred thirty-three".

Divisors: 1 3 9 11 31 33 93 99 279 341 739 961 1023 2217 2883 3069 6651 8129 8649 10571 22909 24387 31713 62873 68727 73161 95139 188619 206181 251999 565857 691603 710179 755997 1949063 2074809 2130537 2267991 5847189 6224427 6391611 7811969 17541567 21439693 23435907 46463147 60420953 64319079 70307721 139389441 181262859 192957237 418168323 511094617 543788577 664630483 1440357557 1533283851 1993891449 4321072671 4599851553 5981674347 12963218013 15843933127 44651084267 47531799381 133953252801 142595398143 401859758403 491161926937 1473485780811 4420457342433