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1420438104 = 2332311275011
BaseRepresentation
bin101010010101010…
…0010101001011000
310122222210201202200
41110222202221120
510402113004404
6352540530200
750125344651
oct12452425130
93588721680
101420438104
11669889198
12337850960
13198386427
14d6912528
1584a80839
hex54aa2a58

1420438104 has 96 divisors (see below), whose sum is σ = 4003184640. Its totient is φ = 454507200.

The previous prime is 1420438093. The next prime is 1420438139. The reversal of 1420438104 is 4018340241.

It is a super-3 number, since 3×14204381043 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 280959 + ... + 285969.

It is an arithmetic number, because the mean of its divisors is an integer number (41699840).

Almost surely, 21420438104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420438104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001592320).

1420438104 is an abundant number, since it is smaller than the sum of its proper divisors (2582746536).

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

1420438104 is a wasteful number, since it uses less digits than its factorization.

1420438104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1420438104 is about 37688.6999510463. The cubic root of 1420438104 is about 1124.1064454266.

Adding to 1420438104 its reverse (4018340241), we get a palindrome (5438778345).

The spelling of 1420438104 in words is "one billion, four hundred twenty million, four hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 127 186 248 254 279 372 381 508 558 744 762 1016 1116 1143 1524 2232 2286 3048 3937 4572 5011 7874 9144 10022 11811 15033 15748 20044 23622 30066 31496 35433 40088 45099 47244 60132 70866 90198 94488 120264 141732 155341 180396 283464 310682 360792 466023 621364 636397 932046 1242728 1272794 1398069 1864092 1909191 2545588 2796138 3728184 3818382 5091176 5592276 5727573 7636764 11184552 11455146 15273528 19728307 22910292 39456614 45820584 59184921 78913228 118369842 157826456 177554763 236739684 355109526 473479368 710219052 1420438104