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1244104040 = 2351923103691
BaseRepresentation
bin100101000100111…
…1000010101101000
310012201000000220102
41022021320111220
510021442312130
6323241244532
742554465324
oct11211702550
93181000812
101244104040
1158929a863
122a8793748
1316a99704a
14bb330984
157434d645
hex4a278568

1244104040 has 128 divisors (see below), whose sum is σ = 3109017600. Its totient is φ = 445927680.

The previous prime is 1244104027. The next prime is 1244104067. The reversal of 1244104040 is 404014421.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800095 + ... + 1800785.

It is an arithmetic number, because the mean of its divisors is an integer number (24289200).

Almost surely, 21244104040 is an apocalyptic number.

1244104040 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 1244104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554508800).

1244104040 is an abundant number, since it is smaller than the sum of its proper divisors (1864913560).

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

1244104040 is a wasteful number, since it uses less digits than its factorization.

1244104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1244104040 is about 35271.8590380490. The cubic root of 1244104040 is about 1075.5210137127.

Adding to 1244104040 its reverse (404014421), we get a palindrome (1648118461).

The spelling of 1244104040 in words is "one billion, two hundred forty-four million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 103 115 152 184 190 206 230 380 412 437 460 515 691 760 824 874 920 1030 1382 1748 1957 2060 2185 2369 2764 3455 3496 3914 4120 4370 4738 5528 6910 7828 8740 9476 9785 11845 13129 13820 15656 15893 17480 18952 19570 23690 26258 27640 31786 39140 45011 47380 52516 63572 65645 71173 78280 79465 90022 94760 105032 127144 131290 142346 158930 180044 225055 262580 284692 301967 317860 355865 360088 450110 525160 569384 603934 635720 711730 900220 1207868 1352287 1423460 1509835 1636979 1800440 2415736 2704574 2846920 3019670 3273958 5409148 6039340 6547916 6761435 8184895 10818296 12078680 13095832 13522870 16369790 27045740 31102601 32739580 54091480 62205202 65479160 124410404 155513005 248820808 311026010 622052020 1244104040