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33240442240 = 275192733589
BaseRepresentation
bin11110111101010010…
…001110010110000000
310011210120202102110101
4132331102032112000
51021034023122430
623134230012144
72254505045215
oct367522162600
9104716672411
1033240442240
11131083aa275
1265381a7054
133199823845
14187495db0c
15ce8364dca
hex7bd48e580

33240442240 has 64 divisors (see below), whose sum is σ = 83647854000. Its totient is φ = 12596373504.

The previous prime is 33240442223. The next prime is 33240442241. The reversal of 33240442240 is 4224404233.

It is a happy number.

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

It is a super-2 number, since 2×332404422402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33240442199 and 33240442208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33240442241) 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, 1354635 + ... + 1378954.

Almost surely, 233240442240 is an apocalyptic number.

It is an amenable number.

33240442240 is an abundant number, since it is smaller than the sum of its proper divisors (50407411760).

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

33240442240 is a wasteful number, since it uses less digits than its factorization.

33240442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733627 (or 2733615 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 33240442240 its reverse (4224404233), we get a palindrome (37464846473).

The spelling of 33240442240 in words is "thirty-three billion, two hundred forty million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 2733589 5467178 10934356 13667945 21868712 27335890 43737424 51938191 54671780 87474848 103876382 109343560 174949696 207752764 218687120 259690955 349899392 415505528 437374240 519381910 831011056 874748480 1038763820 1662022112 1749496960 2077527640 3324044224 4155055280 6648088448 8310110560 16620221120 33240442240