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1421274816 = 263313151419
BaseRepresentation
bin101010010110110…
…1110111011000000
310200001101020112000
41110231232323000
510402321243231
6353010504000
750135431233
oct12455567300
93601336460
101421274816
1166a2aa895
12337b95000
131985ba220
14d6a8d41a
1584b986e6
hex54b6eec0

1421274816 has 224 divisors, whose sum is σ = 4540300800. Its totient is φ = 433382400.

The previous prime is 1421274797. The next prime is 1421274823. The reversal of 1421274816 is 6184721241.

It is a happy number.

1421274816 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3391855 + ... + 3392273.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 21421274816 is an apocalyptic number.

1421274816 is a gapful number since it is divisible by the number (16) 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 1421274816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270150400).

1421274816 is an abundant number, since it is smaller than the sum of its proper divisors (3119025984).

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

1421274816 is a wasteful number, since it uses less digits than its factorization.

1421274816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1421274816 is about 37699.7986201518. The cubic root of 1421274816 is about 1124.3271211772.

The spelling of 1421274816 in words is "one billion, four hundred twenty-one million, two hundred seventy-four thousand, eight hundred sixteen".