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1402401140 = 225729243277
BaseRepresentation
bin101001110010110…
…1111000101110100
310121201212100200222
41103211233011310
510333003314030
6351054153512
746516133030
oct12345570564
93551770628
101402401140
1165a689808
123317b2898
1319470c67a
14d43791c0
15831bb3e5
hex5396f174

1402401140 has 144 divisors (see below), whose sum is σ = 3579768192. Its totient is φ = 451809792.

The previous prime is 1402401139. The next prime is 1402401197. The reversal of 1402401140 is 411042041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5062682 + ... + 5062958.

Almost surely, 21402401140 is an apocalyptic number.

1402401140 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 1402401140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789884096).

1402401140 is an abundant number, since it is smaller than the sum of its proper divisors (2177367052).

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

1402401140 is a wasteful number, since it uses less digits than its factorization.

1402401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1402401140 is about 37448.6467045206. The cubic root of 1402401140 is about 1119.3281312643.

Adding to 1402401140 its reverse (411042041), we get a palindrome (1813443181).

The spelling of 1402401140 in words is "one billion, four hundred two million, four hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 43 58 70 86 116 140 145 172 203 215 277 290 301 406 430 554 580 602 812 841 860 1015 1108 1204 1247 1385 1505 1682 1939 2030 2494 2770 3010 3364 3878 4060 4205 4988 5540 5887 6020 6235 7756 8033 8410 8729 9695 11774 11911 12470 16066 16820 17458 19390 23548 23822 24940 29435 32132 34916 36163 38780 40165 43645 47644 56231 58870 59555 72326 80330 83377 87290 112462 117740 119110 144652 160660 166754 174580 180815 224924 232957 238220 253141 281155 333508 345419 361630 416885 465914 506282 562310 690838 723260 833770 931828 1012564 1124620 1164785 1265705 1381676 1630699 1667540 1727095 2329570 2417933 2531410 3261398 3454190 4659140 4835866 5062820 6522796 6908380 8153495 9671732 10017151 12089665 16306990 20034302 24179330 32613980 40068604 48358660 50085755 70120057 100171510 140240114 200343020 280480228 350600285 701200570 1402401140