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32204242342040 = 2351814831920741
BaseRepresentation
bin1110101001010001000100…
…11011001101000010011000
311020000200210000112121011212
413110220202123031002120
513210113242014421130
6152254231422242252
76532452101223356
oct724504233150230
9136020700477155
1032204242342040
11a29681926a43a
123741493726388
1314c7b01ba5042
147d499d5167d6
153aca8d8c0e95
hex1d4a226cd098

32204242342040 has 64 divisors (see below), whose sum is σ = 72875035134720. Its totient is φ = 12807861696000.

The previous prime is 32204242342007. The next prime is 32204242342049. The reversal of 32204242342040 is 4024324240223.

It is a super-2 number, since 2×322042423420402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32204242341988 and 32204242342006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32204242342049) 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 15 ways as a sum of consecutive naturals, for example, 34516070 + ... + 35436810.

It is an arithmetic number, because the mean of its divisors is an integer number (1138672423980).

Almost surely, 232204242342040 is an apocalyptic number.

It is an amenable number.

32204242342040 is an abundant number, since it is smaller than the sum of its proper divisors (40670792792680).

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

32204242342040 is a wasteful number, since it uses less digits than its factorization.

32204242342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925764 (or 925760 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 32204242342040 its reverse (4024324240223), we get a palindrome (36228566582263).

The spelling of 32204242342040 in words is "thirty-two trillion, two hundred four billion, two hundred forty-two million, three hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 4831 7240 9662 19324 24155 38648 48310 96620 193240 874411 920741 1748822 1841482 3497644 3682964 4372055 4603705 6995288 7365928 8744110 9207410 17488220 18414820 34976440 36829640 166654121 333308242 666616484 833270605 1333232968 1666541210 3333082420 4448099771 6666164840 8896199542 17792399084 22240498855 35584798168 44480997710 88961995420 177923990840 805106058551 1610212117102 3220424234204 4025530292755 6440848468408 8051060585510 16102121171020 32204242342040