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1424100042 = 23729103109
BaseRepresentation
bin101010011100010…
…0000101011001010
310200020200210000000
41110320200223022
510404032200132
6353151223430
750201436111
oct12470405312
93606623000
101424100042
1167095a492
12338b17b76
13199069161
14d71c6c78
158505587c
hex54e20aca

1424100042 has 128 divisors (see below), whose sum is σ = 3377088000. Its totient is φ = 449717184.

The previous prime is 1424100031. The next prime is 1424100049. The reversal of 1424100042 is 2400014241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1424099988 and 1424100024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424100049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13065084 + ... + 13065192.

It is an arithmetic number, because the mean of its divisors is an integer number (26383500).

Almost surely, 21424100042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424100042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688544000).

1424100042 is an abundant number, since it is smaller than the sum of its proper divisors (1952987958).

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

1424100042 is a wasteful number, since it uses less digits than its factorization.

1424100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1424100042 is about 37737.2500587947. The cubic root of 1424100042 is about 1125.0716114415.

Adding to 1424100042 its reverse (2400014241), we get a palindrome (3824114283).

The spelling of 1424100042 in words is "one billion, four hundred twenty-four million, one hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 103 109 162 174 206 218 243 261 309 327 486 522 618 654 729 783 927 981 1458 1566 1854 1962 2187 2349 2781 2943 2987 3161 4374 4698 5562 5886 5974 6322 7047 8343 8829 8961 9483 11227 14094 16686 17658 17922 18966 21141 22454 25029 26487 26883 28449 33681 42282 50058 52974 53766 56898 63423 67362 75087 79461 80649 85347 101043 126846 150174 158922 161298 170694 202086 225261 238383 241947 256041 303129 325583 450522 476766 483894 512082 606258 651166 725841 768123 909387 976749 1451682 1536246 1818774 1953498 2177523 2304369 2728161 2930247 4355046 4608738 5456322 5860494 6532569 6913107 8184483 8790741 13065138 13826214 16368966 17581482 24553449 26372223 49106898 52744446 79116669 158233338 237350007 474700014 712050021 1424100042