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1448040132 = 22337113141137
BaseRepresentation
bin101011001001111…
…0101011011000100
310201220202001122000
41112103311123010
510431144241012
6355404305300
750612065230
oct12623653304
93656661560
101448040132
11683420a90
12344b42230
131a0ccbaa6
14da4595c0
15871d3ddc
hex564f56c4

1448040132 has 384 divisors, whose sum is σ = 4985487360. Its totient is φ = 352512000.

The previous prime is 1448040119. The next prime is 1448040169. The reversal of 1448040132 is 2310408441.

1448040132 is a `hidden beast` number, since 14 + 480 + 40 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1448040096 and 1448040105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10569568 + ... + 10569704.

It is an arithmetic number, because the mean of its divisors is an integer number (12983040).

Almost surely, 21448040132 is an apocalyptic number.

1448040132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1448040132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492743680).

1448040132 is an abundant number, since it is smaller than the sum of its proper divisors (3537447228).

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

1448040132 is a wasteful number, since it uses less digits than its factorization.

1448040132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1448040132 is about 38053.1224999999. The cubic root of 1448040132 is about 1131.3410168540.

Adding to 1448040132 its reverse (2310408441), we get a palindrome (3758448573).

The spelling of 1448040132 in words is "one billion, four hundred forty-eight million, forty thousand, one hundred thirty-two".