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1441434120 = 2335711811453
BaseRepresentation
bin101010111101010…
…1000101000001000
310201110022102212220
41111322220220020
510423001342440
6355010534040
750501662560
oct12572505010
93643272786
101441434120
1167a719875
12342897320
1319c827cc9
14d9619da0
158682b8d0
hex55ea8a08

1441434120 has 128 divisors (see below), whose sum is σ = 4949648640. Its totient is φ = 328965120.

The previous prime is 1441434091. The next prime is 1441434139. The reversal of 1441434120 is 214341441.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 991314 + ... + 992766.

It is an arithmetic number, because the mean of its divisors is an integer number (38669130).

Almost surely, 21441434120 is an apocalyptic number.

1441434120 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 1441434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474824320).

1441434120 is an abundant number, since it is smaller than the sum of its proper divisors (3508214520).

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

1441434120 is a wasteful number, since it uses less digits than its factorization.

1441434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2651 counting only the distinct ones).

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

The square root of 1441434120 is about 37966.2234097625. The cubic root of 1441434120 is about 1129.6179876632.

Adding to 1441434120 its reverse (214341441), we get a palindrome (1655775561).

The spelling of 1441434120 in words is "one billion, four hundred forty-one million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1181 1453 2362 2906 3543 4359 4724 5812 5905 7086 7265 8267 8718 9448 10171 11624 11810 14172 14530 16534 17436 17715 20342 21795 23620 24801 28344 29060 30513 33068 34872 35430 40684 41335 43590 47240 49602 50855 58120 61026 66136 70860 81368 82670 87180 99204 101710 122052 124005 141720 152565 165340 174360 198408 203420 244104 248010 305130 330680 406840 496020 610260 992040 1220520 1715993 3431986 5147979 6863972 8579965 10295958 12011951 13727944 17159930 20591916 24023902 25739895 34319860 36035853 41183832 48047804 51479790 60059755 68639720 72071706 96095608 102959580 120119510 144143412 180179265 205919160 240239020 288286824 360358530 480478040 720717060 1441434120