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1441370040 = 2335111915717
BaseRepresentation
bin101010111101001…
…1000111110111000
310201110012011222120
41111322120332320
510422442320130
6355005321240
750501305005
oct12572307670
93643164876
101441370040
1167a685710
12342866220
1319c804aa6
14d96008ac
1586817910
hex55e98fb8

1441370040 has 128 divisors (see below), whose sum is σ = 4742737920. Its totient is φ = 347532800.

The previous prime is 1441370027. The next prime is 1441370081. The reversal of 1441370040 is 400731441.

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

It is a congruent number.

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, 249262 + ... + 254978.

It is an arithmetic number, because the mean of its divisors is an integer number (37052640).

Almost surely, 21441370040 is an apocalyptic number.

1441370040 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 1441370040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371368960).

1441370040 is an abundant number, since it is smaller than the sum of its proper divisors (3301367880).

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

1441370040 is a wasteful number, since it uses less digits than its factorization.

1441370040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5933 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1441370040 is about 37965.3794923744. The cubic root of 1441370040 is about 1129.6012480860.

The spelling of 1441370040 in words is "one billion, four hundred forty-one million, three hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 191 220 264 330 382 440 573 660 764 955 1146 1320 1528 1910 2101 2292 2865 3820 4202 4584 5717 5730 6303 7640 8404 10505 11434 11460 12606 16808 17151 21010 22868 22920 25212 28585 31515 34302 42020 45736 50424 57170 62887 63030 68604 84040 85755 114340 125774 126060 137208 171510 188661 228680 251548 252120 314435 343020 377322 503096 628870 686040 754644 943305 1091947 1257740 1509288 1886610 2183894 2515480 3275841 3773220 4367788 5459735 6551682 7546440 8735576 10919470 12011417 13103364 16379205 21838940 24022834 26206728 32758410 36034251 43677880 48045668 60057085 65516820 72068502 96091336 120114170 131033640 144137004 180171255 240228340 288274008 360342510 480456680 720685020 1441370040