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335442649040 = 2454193033113
BaseRepresentation
bin1001110000110011111…
…00001001111111010000
31012001211120112011000022
410320121330021333100
520443441304232130
6414033352043012
733143403320552
oct4703174117720
91161746464008
10335442649040
1111a2956a3094
1255017093468
132582a9773a5
14123423554d2
158ad40297e5
hex4e19f09fd0

335442649040 has 20 divisors (see below), whose sum is σ = 779904159204. Its totient is φ = 134177059584.

The previous prime is 335442649019. The next prime is 335442649049. The reversal of 335442649040 is 40946244533.

It can be written as a sum of positive squares in 2 ways, for example, as 222172707904 + 113269941136 = 471352^2 + 336556^2 .

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

It is a super-2 number, since 2×3354426490402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335442648982 and 335442649000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335442649049) 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, 2096516477 + ... + 2096516636.

Almost surely, 2335442649040 is an apocalyptic number.

It is an amenable number.

335442649040 is an abundant number, since it is smaller than the sum of its proper divisors (444461510164).

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

335442649040 is a wasteful number, since it uses less digits than its factorization.

335442649040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193033126 (or 4193033120 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 44.

The spelling of 335442649040 in words is "three hundred thirty-five billion, four hundred forty-two million, six hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4193033113 8386066226 16772132452 20965165565 33544264904 41930331130 67088529808 83860662260 167721324520 335442649040