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33121420240 = 2453711189669
BaseRepresentation
bin11110110110001100…
…001100001111010000
310011111021210110222011
4132312030030033100
51020313040421430
623114334552304
72251531266256
oct366614141720
9104437713864
1033121420240
11130571a6287
126504368694
13317ac7cb1c
141862c1a5d6
15cdcba422a
hex7b630c3d0

33121420240 has 40 divisors (see below), whose sum is σ = 79088587560. Its totient is φ = 12890497536.

The previous prime is 33121420237. The next prime is 33121420291. The reversal of 33121420240 is 4202412133.

It can be written as a sum of positive squares in 4 ways, for example, as 4986054544 + 28135365696 = 70612^2 + 167736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 5591875 + ... + 5597794.

It is an arithmetic number, because the mean of its divisors is an integer number (1977214689).

Almost surely, 233121420240 is an apocalyptic number.

It is an amenable number.

33121420240 is an abundant number, since it is smaller than the sum of its proper divisors (45967167320).

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

33121420240 is a wasteful number, since it uses less digits than its factorization.

33121420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189719 (or 11189713 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 33121420240 its reverse (4202412133), we get a palindrome (37323832373).

The spelling of 33121420240 in words is "thirty-three billion, one hundred twenty-one million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 11189669 22379338 44758676 55948345 89517352 111896690 179034704 223793380 414017753 447586760 828035506 895173520 1656071012 2070088765 3312142024 4140177530 6624284048 8280355060 16560710120 33121420240