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45025355345440 = 2551213231993793
BaseRepresentation
bin10100011110011010010000…
…10011111010111000100000
312220102101022102121010211211
422033031020103322320200
521400143411432023230
6235432210201515504
712324655164506611
oct1217151023727040
9186371272533754
1045025355345440
111338a167313978
1250722704a2b94
131c17b466a04c2
14b1934b4a7c08
1553132d40342a
hex28f3484fae20

45025355345440 has 48 divisors (see below), whose sum is σ = 106460096116248. Its totient is φ = 17995294457856.

The previous prime is 45025355345393. The next prime is 45025355345441. The reversal of 45025355345440 is 4454355352054.

45025355345440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8369935031056 + 36655420314384 = 2893084^2 + 6054372^2 .

It is not an unprimeable number, because it can be changed into a prime (45025355345441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115802817 + ... + 116190976.

Almost surely, 245025355345440 is an apocalyptic number.

45025355345440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45025355345440 is an abundant number, since it is smaller than the sum of its proper divisors (61434740770808).

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

45025355345440 is a wasteful number, since it uses less digits than its factorization.

45025355345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231995021 (or 231995013 counting only the distinct ones).

The product of its (nonzero) digits is 14400000, while the sum is 49.

The spelling of 45025355345440 in words is "forty-five trillion, twenty-five billion, three hundred fifty-five million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1213 2426 4852 6065 9704 12130 19408 24260 38816 48520 97040 194080 231993793 463987586 927975172 1159968965 1855950344 2319937930 3711900688 4639875860 7423801376 9279751720 18559503440 37119006880 281408470909 562816941818 1125633883636 1407042354545 2251267767272 2814084709090 4502535534544 5628169418180 9005071069088 11256338836360 22512677672720 45025355345440