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44103431311240 = 23572199711267777
BaseRepresentation
bin10100000011100101000010…
…10110110100111110001000
312210011020122221212201121211
422001302201112310332020
521240042311403424430
6233444500414142504
712201240066512200
oct1201624126647610
9183136587781554
1044103431311240
1113064184223754
124b43659ab1a34
131b7bc21a3c4c2
14ac6890477400
155173712a172a
hex281ca15b4f88

44103431311240 has 96 divisors (see below), whose sum is σ = 115491794877720. Its totient is φ = 15113603162112.

The previous prime is 44103431311237. The next prime is 44103431311241. The reversal of 44103431311240 is 4211313430144.

It can be written as a sum of positive squares in 4 ways, for example, as 37237113337284 + 6866317973956 = 6102222^2 + 2620366^2 .

It is a super-2 number, since 2×441034313112402 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44103431311241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719769 + ... + 9548008.

Almost surely, 244103431311240 is an apocalyptic number.

44103431311240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44103431311240 is an abundant number, since it is smaller than the sum of its proper divisors (71388363566480).

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

44103431311240 is a wasteful number, since it uses less digits than its factorization.

44103431311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11269799 (or 11269788 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 44103431311240 its reverse (4211313430144), we get a palindrome (48314744741384).

The spelling of 44103431311240 in words is "forty-four trillion, one hundred three billion, four hundred thirty-one million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 1997 3994 7988 9985 13979 15976 19970 27958 39940 55916 69895 79880 97853 111832 139790 195706 279580 391412 489265 559160 782824 978530 1957060 3914120 11267777 22535554 45071108 56338885 78874439 90142216 112677770 157748878 225355540 315497756 394372195 450711080 552121073 630995512 788744390 1104242146 1577488780 2208484292 2760605365 3154977560 4416968584 5521210730 11042421460 22084842920 22501750669 45003501338 90007002676 112508753345 157512254683 180014005352 225017506690 315024509366 450035013380 630049018732 787561273415 900070026760 1102585782781 1260098037464 1575122546830 2205171565562 3150245093660 4410343131124 5512928913905 6300490187320 8820686262248 11025857827810 22051715655620 44103431311240