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106235221440444 = 223163100375411227
BaseRepresentation
bin11000001001111011010000…
…101000101111011110111100
3111221010222200020111022210120
4120021323100220233132330
5102411024213142043234
61013535441553334540
731243145551666635
oct3011732050573674
9457128606438716
10106235221440444
1130939116a58298
12bab9120867450
134737c2786bb15
141c33b5279288c
15c4364ddee049
hex609ed0a2f7bc

106235221440444 has 48 divisors (see below), whose sum is σ = 249427827401088. Its totient is φ = 35190977560128.

The previous prime is 106235221440443. The next prime is 106235221440457. The reversal of 106235221440444 is 444044122532601.

It is a super-2 number, since 2×1062352214404442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106235221440396 and 106235221440405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106235221440443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16926759 + ... + 22337985.

It is an arithmetic number, because the mean of its divisors is an integer number (5196413070856).

Almost surely, 2106235221440444 is an apocalyptic number.

It is an amenable number.

106235221440444 is an abundant number, since it is smaller than the sum of its proper divisors (143192605960644).

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

106235221440444 is a wasteful number, since it uses less digits than its factorization.

106235221440444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5421434 (or 5421432 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 106235221440444 in words is "one hundred six trillion, two hundred thirty-five billion, two hundred twenty-one million, four hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 163 326 489 652 978 1956 10037 20074 30111 40148 60222 120444 1636031 3272062 4908093 5411227 6544124 9816186 10822454 16233681 19632372 21644908 32467362 64934724 882030001 1764060002 2646090003 3528120004 5292180006 10584360012 54312485399 108624970798 162937456197 217249941596 325874912394 651749824788 8852935120037 17705870240074 26558805360111 35411740480148 53117610720222 106235221440444