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1421159040 = 27335731379
BaseRepresentation
bin101010010110101…
…0010101010000000
310200001011100201000
41110231102222000
510402304042130
6353004212000
750134436550
oct12455225200
93601140630
101421159040
1166a230904
12337b3a000
13198579612
14d6a5d160
1584b74260
hex54b52a80

1421159040 has 512 divisors, whose sum is σ = 5953536000. Its totient is φ = 313528320.

The previous prime is 1421159039. The next prime is 1421159063. The reversal of 1421159040 is 409511241.

1421159040 is a `hidden beast` number, since 14 + 21 + 1 + 590 + 40 = 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 = 1421158995 and 1421159013.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3749571 + ... + 3749949.

It is an arithmetic number, because the mean of its divisors is an integer number (11628000).

Almost surely, 21421159040 is an apocalyptic number.

1421159040 is a gapful number since it is divisible by the number (10) 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 1421159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976768000).

1421159040 is an abundant number, since it is smaller than the sum of its proper divisors (4532376960).

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

1421159040 is a wasteful number, since it uses less digits than its factorization.

1421159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1421159040 is about 37698.2630899621. The cubic root of 1421159040 is about 1124.2965913951.

It can be divided in two parts, 1421 and 159040, that added together give a triangular number (160461 = T566).

The spelling of 1421159040 in words is "one billion, four hundred twenty-one million, one hundred fifty-nine thousand, forty".