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1440242034 = 2371153131449
BaseRepresentation
bin101010111011000…
…0101100101110010
310201101001212122120
41111312011211302
510422200221114
6354525215110
750455566240
oct12566054562
93641055576
101440242034
11679a85180
12342401496
1319c4cb52a
14d93c9790
15866935a9
hex55d85972

1440242034 has 128 divisors (see below), whose sum is σ = 3695155200. Its totient is φ = 363417600.

The previous prime is 1440242033. The next prime is 1440242093. The reversal of 1440242034 is 4302420441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1440241995 and 1440242013.

It is not an unprimeable number, because it can be changed into a prime (1440242033) 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, 3207442 + ... + 3207890.

It is an arithmetic number, because the mean of its divisors is an integer number (28868400).

Almost surely, 21440242034 is an apocalyptic number.

1440242034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440242034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847577600).

1440242034 is an abundant number, since it is smaller than the sum of its proper divisors (2254913166).

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

1440242034 is a wasteful number, since it uses less digits than its factorization.

1440242034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 1440242034 is about 37950.5208659908. The cubic root of 1440242034 is about 1129.3064985335.

Adding to 1440242034 its reverse (4302420441), we get a palindrome (5742662475).

The spelling of 1440242034 in words is "one billion, four hundred forty million, two hundred forty-two thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 53 66 77 106 131 154 159 231 262 318 371 393 449 462 583 742 786 898 917 1113 1166 1347 1441 1749 1834 2226 2694 2751 2882 3143 3498 4081 4323 4939 5502 6286 6943 8162 8646 9429 9878 10087 12243 13886 14817 18858 20174 20829 23797 24486 29634 30261 34573 41658 47594 48601 58819 60522 69146 71391 76373 97202 103719 117638 142782 145803 152746 166579 176457 207438 229119 261767 291606 333158 352914 411733 458238 499737 523534 534611 647009 785301 823466 999474 1069222 1235199 1294018 1570602 1603833 1832369 1941027 2470398 3117407 3207666 3664738 3882054 4529063 5497107 6234814 9058126 9352221 10994214 13587189 18704442 21821849 27174378 34291477 43643698 65465547 68582954 102874431 130931094 205748862 240040339 480080678 720121017 1440242034