Search a number
-
+
75400732440 = 2336511235069
BaseRepresentation
bin100011000111000111…
…0111101111100011000
321012121210210002000000
41012032032331330120
52213410041414230
654345535213000
75306333436165
oct1061616757430
9235553702000
1075400732440
1129a82825310
1212743677160
137158313017
143913dcd06c
151e64822b60
hex118e3bdf18

75400732440 has 224 divisors, whose sum is σ = 277486030800. Its totient is φ = 18278887680.

The previous prime is 75400732439. The next prime is 75400732481. The reversal of 75400732440 is 4423700457.

75400732440 is a `hidden beast` number, since 7 + 5 + 400 + 7 + 3 + 244 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75400732395 and 75400732404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 203226 + ... + 438294.

Almost surely, 275400732440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75400732440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138743015400).

75400732440 is an abundant number, since it is smaller than the sum of its proper divisors (202085298360).

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

75400732440 is a wasteful number, since it uses less digits than its factorization.

75400732440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235109 (or 235090 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 75400732440 in words is "seventy-five billion, four hundred million, seven hundred thirty-two thousand, four hundred forty".