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1443114240 = 28352912959
BaseRepresentation
bin101011000000100…
…0010110100000000
310201120110210120120
41112001002310000
510423414123430
6355110540240
750522161101
oct12601026400
93646423516
101443114240
116806670a7
12343367680
1319cc95969
14d99363a8
1586a5e610
hex56042d00

1443114240 has 144 divisors (see below), whose sum is σ = 4768243200. Its totient is φ = 371531776.

The previous prime is 1443114229. The next prime is 1443114307. The reversal of 1443114240 is 424113441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1443114240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104881 + ... + 117839.

It is an arithmetic number, because the mean of its divisors is an integer number (33112800).

Almost surely, 21443114240 is an apocalyptic number.

1443114240 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 1443114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384121600).

1443114240 is an abundant number, since it is smaller than the sum of its proper divisors (3325128960).

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

1443114240 is a wasteful number, since it uses less digits than its factorization.

1443114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 12998 counting only the distinct ones).

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

The square root of 1443114240 is about 37988.3434753346. The cubic root of 1443114240 is about 1130.0567074160.

Adding to 1443114240 its reverse (424113441), we get a palindrome (1867227681).

The spelling of 1443114240 in words is "one billion, four hundred forty-three million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 870 928 960 1160 1280 1392 1740 1856 1920 2320 2784 3480 3712 3840 4640 5568 6960 7424 9280 11136 12959 13920 18560 22272 25918 27840 37120 38877 51836 55680 64795 77754 103672 111360 129590 155508 194385 207344 259180 311016 375811 388770 414688 518360 622032 751622 777540 829376 1036720 1127433 1244064 1503244 1555080 1658752 1879055 2073440 2254866 2488128 3006488 3110160 3317504 3758110 4146880 4509732 4976256 5637165 6012976 6220320 7516220 8293760 9019464 9952512 11274330 12025952 12440640 15032440 16587520 18038928 22548660 24051904 24881280 30064880 36077856 45097320 48103808 49762560 60129760 72155712 90194640 96207616 120259520 144311424 180389280 240519040 288622848 360778560 481038080 721557120 1443114240