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33204013401040 = 245415050167513
BaseRepresentation
bin1111000110010111010010…
…11011001000001111010000
311100120021100210011121122121
413203023221123020033100
513323003304412313130
6154341414013544024
76664624256060056
oct743135133101720
9140507323147577
1033204013401040
11a641819a35599
1238831b0aa5014
13156b1818c2621
1482b1233a61d6
153c8aa4eb2d7a
hex1e32e96c83d0

33204013401040 has 20 divisors (see below), whose sum is σ = 77199331157604. Its totient is φ = 13281605360384.

The previous prime is 33204013401037. The next prime is 33204013401049. The reversal of 33204013401040 is 4010431040233.

It can be written as a sum of positive squares in 2 ways, for example, as 17072994274704 + 16131019126336 = 4131948^2 + 4016344^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×332040134010402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33204013400996 and 33204013401014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33204013401049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207525083677 + ... + 207525083836.

Almost surely, 233204013401040 is an apocalyptic number.

It is an amenable number.

33204013401040 is an abundant number, since it is smaller than the sum of its proper divisors (43995317756564).

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

33204013401040 is a wasteful number, since it uses less digits than its factorization.

33204013401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415050167526 (or 415050167520 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 33204013401040 its reverse (4010431040233), we get a palindrome (37214444441273).

The spelling of 33204013401040 in words is "thirty-three trillion, two hundred four billion, thirteen million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 415050167513 830100335026 1660200670052 2075250837565 3320401340104 4150501675130 6640802680208 8301003350260 16602006700520 33204013401040