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146744333340 = 223511222339899
BaseRepresentation
bin1000100010101010100…
…1001101010000011100
3112000202212100111210220
42020222221031100130
54401013022131330
6151225144201340
713413314152503
oct2105251152034
9460685314726
10146744333340
1157263394650
1224534469250
1310ab7c20197
14716123583a
153c3cd87710
hex222aa4d41c

146744333340 has 48 divisors (see below), whose sum is σ = 448237238400. Its totient is φ = 35574383680.

The previous prime is 146744333287. The next prime is 146744333357. The reversal of 146744333340 is 43333447641.

146744333340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146744333292 and 146744333301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111169290 + ... + 111170609.

It is an arithmetic number, because the mean of its divisors is an integer number (9338275800).

Almost surely, 2146744333340 is an apocalyptic number.

146744333340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146744333340 is an abundant number, since it is smaller than the sum of its proper divisors (301492905060).

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

146744333340 is a wasteful number, since it uses less digits than its factorization.

146744333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222339922 (or 222339920 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 42.

It can be divided in two parts, 146744 and 333340, that added together give a palindrome (480084).

The spelling of 146744333340 in words is "one hundred forty-six billion, seven hundred forty-four million, three hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 222339899 444679798 667019697 889359596 1111699495 1334039394 2223398990 2445738889 2668078788 3335098485 4446797980 4891477778 6670196970 7337216667 9782955556 12228694445 13340393940 14674433334 24457388890 29348866668 36686083335 48914777780 73372166670 146744333340