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505405416440 = 23512635135411
BaseRepresentation
bin1110101101011001000…
…00101010001111111000
31210022112120110022121102
413112230200222033320
531240032241311230
61024102520030532
751341263105061
oct7265440521770
91708476408542
10505405416440
111853831aa911
1281b4b302448
1338875c96442
141a667099568
15d23046d045
hex75ac82a3f8

505405416440 has 16 divisors (see below), whose sum is σ = 1137162187080. Its totient is φ = 202162166560.

The previous prime is 505405416431. The next prime is 505405416493. The reversal of 505405416440 is 44614504505.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 505405416394 and 505405416403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6317567666 + ... + 6317567745.

Almost surely, 2505405416440 is an apocalyptic number.

It is an amenable number.

505405416440 is an abundant number, since it is smaller than the sum of its proper divisors (631756770640).

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

505405416440 is a wasteful number, since it uses less digits than its factorization.

505405416440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635135422 (or 12635135418 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 505405416440 in words is "five hundred five billion, four hundred five million, four hundred sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 12635135411 25270270822 50540541644 63175677055 101081083288 126351354110 252702708220 505405416440