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1424145640 = 235792771627
BaseRepresentation
bin101010011100010…
…1011110011101000
310200020210002112211
41110320223303220
510404040130030
6353152214504
750202016051
oct12470536350
93606702484
101424145640
11670990775
12338b3a434
13199083b38
14d71d9728
158506412a
hex54e2bce8

1424145640 has 64 divisors (see below), whose sum is σ = 3258604800. Its totient is φ = 560072448.

The previous prime is 1424145631. The next prime is 1424145643. The reversal of 1424145640 is 465414241.

It is not an unprimeable number, because it can be changed into a prime (1424145643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874507 + ... + 876133.

It is an arithmetic number, because the mean of its divisors is an integer number (50915700).

Almost surely, 21424145640 is an apocalyptic number.

1424145640 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 1424145640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629302400).

1424145640 is an abundant number, since it is smaller than the sum of its proper divisors (1834459160).

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

1424145640 is a wasteful number, since it uses less digits than its factorization.

1424145640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 1424145640 is about 37737.8542050287. The cubic root of 1424145640 is about 1125.0836191344.

Adding to 1424145640 its reverse (465414241), we get a palindrome (1889559881).

The spelling of 1424145640 in words is "one billion, four hundred twenty-four million, one hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 158 277 316 395 554 632 790 1108 1385 1580 1627 2216 2770 3160 3254 5540 6508 8135 11080 13016 16270 21883 32540 43766 65080 87532 109415 128533 175064 218830 257066 437660 450679 514132 642665 875320 901358 1028264 1285330 1802716 2253395 2570660 3605432 4506790 5141320 9013580 18027160 35603641 71207282 142414564 178018205 284829128 356036410 712072820 1424145640