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33124235140 = 22517459721193
BaseRepresentation
bin11110110110010110…
…111011011110000100
310011111111002111021201
4132312112323132010
51020314301011030
623114515152244
72251564232053
oct366626733604
9104444074251
1033124235140
1113058849147
1265052a5684
13317b727149
14186335039a
15cdd05d2ca
hex7b65bb784

33124235140 has 48 divisors (see below), whose sum is σ = 73672209072. Its totient is φ = 12466999296.

The previous prime is 33124235117. The next prime is 33124235149. The reversal of 33124235140 is 4153242133.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7069110084 + 26055125056 = 84078^2 + 161416^2 .

It is a super-2 number, since 2×331242351402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33124235099 and 33124235108.

It is not an unprimeable number, because it can be changed into a prime (33124235149) 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, 1552384 + ... + 1573576.

It is an arithmetic number, because the mean of its divisors is an integer number (1534837689).

Almost surely, 233124235140 is an apocalyptic number.

It is an amenable number.

33124235140 is an abundant number, since it is smaller than the sum of its proper divisors (40547973932).

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

33124235140 is a wasteful number, since it uses less digits than its factorization.

33124235140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25816 (or 25814 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 33124235140 its reverse (4153242133), we get a palindrome (37277477273).

The spelling of 33124235140 in words is "thirty-three billion, one hundred twenty-four million, two hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4597 9194 18388 21193 22985 42386 45970 78149 84772 91940 105965 156298 211930 312596 360281 390745 423860 720562 781490 1441124 1562980 1801405 3602810 7205620 97424221 194848442 389696884 487121105 974242210 1656211757 1948484420 3312423514 6624847028 8281058785 16562117570 33124235140