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1416992640 = 273571931179
BaseRepresentation
bin101010001110101…
…1001011110000000
310122202022200110220
41110131121132000
510400222231030
6352335023040
750054144610
oct12435313600
93582280426
101416992640
116679455a8
1233666aa80
1319774b0ab
14d6296a40
15845eea10
hex54759780

1416992640 has 512 divisors, whose sum is σ = 5640192000. Its totient is φ = 295280640.

The previous prime is 1416992623. The next prime is 1416992641. The reversal of 1416992640 is 462996141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1416992592 and 1416992601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416992641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7916071 + ... + 7916249.

It is an arithmetic number, because the mean of its divisors is an integer number (11016000).

Almost surely, 21416992640 is an apocalyptic number.

1416992640 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 1416992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820096000).

1416992640 is an abundant number, since it is smaller than the sum of its proper divisors (4223199360).

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

1416992640 is a wasteful number, since it uses less digits than its factorization.

1416992640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1416992640 is about 37642.9626889277. The cubic root of 1416992640 is about 1123.1968190103.

The spelling of 1416992640 in words is "one billion, four hundred sixteen million, nine hundred ninety-two thousand, six hundred forty".