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4202044001034 = 23114110752327749
BaseRepresentation
bin111101001001011101010…
…101110000101100001010
3112212201012200010101201120
4331021131111300230022
51022321241231013114
612534220430100110
7612405365452605
oct75113525605412
915781180111646
104202044001034
111380093323020
1257a47404a636
13246335729979
14107546a9133c
1574488ad45a9
hex3d25d570b0a

4202044001034 has 128 divisors (see below), whose sum is σ = 9497948544000. Its totient is φ = 1228281868800.

The previous prime is 4202044001033. The next prime is 4202044001083. The reversal of 4202044001034 is 4301004402024.

It is a happy number.

4202044001034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4202044000995 and 4202044001013.

It is not an unprimeable number, because it can be changed into a prime (4202044001033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151416592 + ... + 151444340.

It is an arithmetic number, because the mean of its divisors is an integer number (74202723000).

Almost surely, 24202044001034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202044001034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748974272000).

4202044001034 is an abundant number, since it is smaller than the sum of its proper divisors (5295904542966).

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

4202044001034 is a wasteful number, since it uses less digits than its factorization.

4202044001034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28436.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4202044001034 its reverse (4301004402024), we get a palindrome (8503048403058).

The spelling of 4202044001034 in words is "four trillion, two hundred two billion, forty-four million, one thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 107 123 214 246 321 451 523 642 902 1046 1177 1353 1569 2354 2706 3138 3531 4387 5753 7062 8774 11506 13161 17259 21443 26322 27749 34518 42886 48257 55498 55961 64329 83247 96514 111922 128658 144771 166494 167883 235873 289542 305239 335766 471746 610478 615571 707619 915717 1137709 1231142 1415238 1831434 1846713 2275418 2294401 2969143 3413127 3693426 4588802 5938286 6826254 6883203 8907429 12514799 13766406 14512727 17814858 25029598 25238411 29025454 32660573 37544397 43538181 50476822 65321146 75088794 75715233 87076362 97981719 121734863 151430466 159639997 195963438 243469726 319279994 365204589 478919991 595021807 730409178 957839982 1190043614 1339083493 1552861789 1785065421 2678166986 3105723578 3570130842 4017250479 4658585367 6545239877 8034500958 9317170734 13090479754 17081479679 19635719631 34162959358 39271439262 51244439037 63667333349 102488878074 127334666698 191002000047 382004000094 700340666839 1400681333678 2101022000517 4202044001034