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1403143040 = 275131371231
BaseRepresentation
bin101001110100010…
…0100001110000000
310121210021001101202
41103220210032000
510333201034130
6351122120332
746525343015
oct12350441600
93553231352
101403143040
11660046152
12331ab00a8
1319490c270
14d44cd70c
15832b6145
hex53a24380

1403143040 has 128 divisors (see below), whose sum is σ = 3641742720. Its totient is φ = 513884160.

The previous prime is 1403143033. The next prime is 1403143043. The reversal of 1403143040 is 403413041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403143043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139225 + ... + 1140455.

It is an arithmetic number, because the mean of its divisors is an integer number (28451115).

Almost surely, 21403143040 is an apocalyptic number.

1403143040 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 1403143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820871360).

1403143040 is an abundant number, since it is smaller than the sum of its proper divisors (2238599680).

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

1403143040 is a wasteful number, since it uses less digits than its factorization.

1403143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1403143040 is about 37458.5509596941. The cubic root of 1403143040 is about 1119.5254792559.

Adding to 1403143040 its reverse (403413041), we get a palindrome (1806556081).

The spelling of 1403143040 in words is "one billion, four hundred three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 137 160 208 260 274 320 416 520 548 640 685 832 1040 1096 1231 1370 1664 1781 2080 2192 2462 2740 3562 4160 4384 4924 5480 6155 7124 8320 8768 8905 9848 10960 12310 14248 16003 17536 17810 19696 21920 24620 28496 32006 35620 39392 43840 49240 56992 64012 71240 78784 80015 87680 98480 113984 128024 142480 157568 160030 168647 196960 227968 256048 284960 320060 337294 393920 512096 569920 640120 674588 787840 843235 1024192 1139840 1280240 1349176 1686470 2048384 2192411 2560480 2698352 3372940 4384822 5120960 5396704 6745880 8769644 10241920 10793408 10962055 13491760 17539288 21586816 21924110 26983520 35078576 43848220 53967040 70157152 87696440 107934080 140314304 175392880 280628608 350785760 701571520 1403143040