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106022454144 = 273389709769
BaseRepresentation
bin110001010111101101…
…1100100001110000000
3101010122212221201012220
41202233123210032000
53214113222013034
6120412301051040
710442222663565
oct1425733441600
9333585851186
10106022454144
1140a66a03032
121866a856a80
139cc843a989
1451bac3686c
152b57d0a749
hex18af6e4380

106022454144 has 64 divisors (see below), whose sum is σ = 282346506000. Its totient is φ = 35249917952.

The previous prime is 106022454143. The next prime is 106022454149. The reversal of 106022454144 is 441454220601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1060224541442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106022454143) 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 7 ways as a sum of consecutive naturals, for example, 205509 + ... + 504260.

Almost surely, 2106022454144 is an apocalyptic number.

It is an amenable number.

106022454144 is an abundant number, since it is smaller than the sum of its proper divisors (176324051856).

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

106022454144 is an equidigital number, since it uses as much as digits as its factorization.

106022454144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710175 (or 710163 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 106022454144 its reverse (441454220601), we get a palindrome (547476674745).

The spelling of 106022454144 in words is "one hundred six billion, twenty-two million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 389 778 1167 1556 2334 3112 4668 6224 9336 12448 18672 24896 37344 49792 74688 149376 709769 1419538 2129307 2839076 4258614 5678152 8517228 11356304 17034456 22712608 34068912 45425216 68137824 90850432 136275648 272551296 276100141 552200282 828300423 1104400564 1656600846 2208801128 3313201692 4417602256 6626403384 8835204512 13252806768 17670409024 26505613536 35340818048 53011227072 106022454144