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1436041140 = 2235292149191
BaseRepresentation
bin101010110011000…
…0011111110110100
310201002011110002220
41111212003332310
510420111304030
6354255202340
750405101602
oct12546037664
93632143086
101436041140
11677675a66
12340b163b0
1319b68a3b1
14d8a14872
1586113a10
hex55983fb4

1436041140 has 144 divisors (see below), whose sum is σ = 4214246400. Its totient is φ = 365335040.

The previous prime is 1436041121. The next prime is 1436041231. The reversal of 1436041140 is 411406341.

It is a self number, because there is not a number n which added to its sum of digits gives 1436041140.

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, 7518445 + ... + 7518635.

It is an arithmetic number, because the mean of its divisors is an integer number (29265600).

Almost surely, 21436041140 is an apocalyptic number.

1436041140 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 1436041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107123200).

1436041140 is an abundant number, since it is smaller than the sum of its proper divisors (2778205260).

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

1436041140 is a wasteful number, since it uses less digits than its factorization.

1436041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1436041140 is about 37895.1334606437. The cubic root of 1436041140 is about 1128.2074432374.

Adding to 1436041140 its reverse (411406341), we get a palindrome (1847447481).

The spelling of 1436041140 in words is "one billion, four hundred thirty-six million, forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 149 174 191 290 298 348 382 435 447 573 580 596 745 764 841 870 894 955 1146 1490 1682 1740 1788 1910 2235 2292 2523 2865 2980 3364 3820 4205 4321 4470 5046 5539 5730 8410 8642 8940 10092 11078 11460 12615 12963 16617 16820 17284 21605 22156 25230 25926 27695 28459 33234 43210 50460 51852 55390 56918 64815 66468 83085 85377 86420 110780 113836 125309 129630 142295 160631 166170 170754 250618 259260 284590 321262 332340 341508 375927 426885 481893 501236 569180 626545 642524 751854 803155 825311 853770 963786 1253090 1503708 1606310 1650622 1707540 1879635 1927572 2409465 2475933 2506180 3212620 3301244 3759270 4126555 4818930 4951866 7518540 8253110 9637860 9903732 12379665 16506220 23934019 24759330 47868038 49518660 71802057 95736076 119670095 143604114 239340190 287208228 359010285 478680380 718020570 1436041140