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45303540240 = 2435726966393
BaseRepresentation
bin101010001100010011…
…010010101000010000
311022221021121021222210
4222030103102220100
51220240201241430
632451232032120
73162443511150
oct521423225020
9138837537883
1045303540240
1118238738352
128944092640
13436ca7b45a
14229aac4760
1512a23eb2b0
hexa8c4d2a10

45303540240 has 80 divisors (see below), whose sum is σ = 160503977088. Its totient is φ = 10355094528.

The previous prime is 45303540239. The next prime is 45303540307. The reversal of 45303540240 is 4204530354.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45303540198 and 45303540207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13481517 + ... + 13484876.

Almost surely, 245303540240 is an apocalyptic number.

45303540240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45303540240 is an abundant number, since it is smaller than the sum of its proper divisors (115200436848).

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

45303540240 is a wasteful number, since it uses less digits than its factorization.

45303540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26966416 (or 26966410 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 45303540240 in words is "forty-five billion, three hundred three million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 26966393 53932786 80899179 107865572 134831965 161798358 188764751 215731144 269663930 323596716 377529502 404495895 431462288 539327860 566294253 647193432 755059004 808991790 943823755 1078655720 1132588506 1294386864 1510118008 1617983580 1887647510 2157311440 2265177012 2831471265 3020236016 3235967160 3775295020 4530354024 5662942530 6471934320 7550590040 9060708048 11325885060 15101180080 22651770120 45303540240