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1441142340 = 22351110720407
BaseRepresentation
bin101010111100110…
…0001011001000100
310201102202121122020
41111321201121010
510422413023330
6355000403140
750466336111
oct12571413104
93642677566
101441142340
1167a53a630
123427764b0
1319c755261
14d9581908
15867c0210
hex55e61644

1441142340 has 96 divisors (see below), whose sum is σ = 4443393024. Its totient is φ = 346085760.

The previous prime is 1441142323. The next prime is 1441142359. The reversal of 1441142340 is 432411441.

It is a self number, because there is not a number n which added to its sum of digits gives 1441142340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60417 + ... + 80823.

It is an arithmetic number, because the mean of its divisors is an integer number (46285344).

Almost surely, 21441142340 is an apocalyptic number.

1441142340 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 1441142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221696512).

1441142340 is an abundant number, since it is smaller than the sum of its proper divisors (3002250684).

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

1441142340 is a wasteful number, since it uses less digits than its factorization.

1441142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20537 (or 20535 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1441142340 is about 37962.3805892096. The cubic root of 1441142340 is about 1129.5417621473.

Adding to 1441142340 its reverse (432411441), we get a palindrome (1873553781).

The spelling of 1441142340 in words is "one billion, four hundred forty-one million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 2140 2354 3210 3531 4708 5885 6420 7062 11770 14124 17655 20407 23540 35310 40814 61221 70620 81628 102035 122442 204070 224477 244884 306105 408140 448954 612210 673431 897908 1122385 1224420 1346862 2183549 2244770 2693724 3367155 4367098 4489540 6550647 6734310 8734196 10917745 13101294 13468620 21835490 24019039 26202588 32753235 43670980 48038078 65506470 72057117 96076156 120095195 131012940 144114234 240190390 288228468 360285585 480380780 720571170 1441142340