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1424940000 = 253541117127
BaseRepresentation
bin101010011101110…
…1101101111100000
310200022021110012120
41110323231233200
510404241040000
6353221224240
750211535011
oct12473555740
93608243176
101424940000
11671383570
12339262080
131992a1583
14d7365008
158516e6a0
hex54eedbe0

1424940000 has 480 divisors, whose sum is σ = 5441458176. Its totient is φ = 322560000.

The previous prime is 1424939993. The next prime is 1424940047. The reversal of 1424940000 is 494241.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11219937 + ... + 11220063.

Almost surely, 21424940000 is an apocalyptic number.

1424940000 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 1424940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720729088).

1424940000 is an abundant number, since it is smaller than the sum of its proper divisors (4016518176).

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

1424940000 is a wasteful number, since it uses less digits than its factorization.

1424940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1424940000 is about 37748.3774485739. The cubic root of 1424940000 is about 1125.2927633126.

The spelling of 1424940000 in words is "one billion, four hundred twenty-four million, nine hundred forty thousand".