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1243444310406 = 234291014875381
BaseRepresentation
bin10010000110000011000…
…011100111000110000110
311101212112202211202010000
4102012003003213012012
5130333033220413111
62351121434542130
7155556465151104
oct22060303470606
94355482752100
101243444310406
1143a383995561
12180ba2b97946
139034410885c
144427c318c74
1522528c7dc56
hex121830e7186

1243444310406 has 160 divisors (see below), whose sum is σ = 2917370364480. Its totient is φ = 395339616000.

The previous prime is 1243444310393. The next prime is 1243444310447. The reversal of 1243444310406 is 6040134443421.

1243444310406 is a `hidden beast` number, since 1 + 243 + 4 + 4 + 4 + 3 + 1 + 0 + 406 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231077836 + ... + 231083216.

It is an arithmetic number, because the mean of its divisors is an integer number (18233564778).

Almost surely, 21243444310406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1243444310406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458685182240).

1243444310406 is an abundant number, since it is smaller than the sum of its proper divisors (1673926054074).

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

1243444310406 is a wasteful number, since it uses less digits than its factorization.

1243444310406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1243444310406 its reverse (6040134443421), we get a palindrome (7283578753827).

The spelling of 1243444310406 in words is "one trillion, two hundred forty-three billion, four hundred forty-four million, three hundred ten thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 101 162 174 202 261 303 487 522 606 783 909 974 1461 1566 1818 2349 2727 2922 2929 4383 4698 5381 5454 5858 8181 8766 8787 10762 13149 14123 16143 16362 17574 26298 26361 28246 32286 39447 42369 48429 49187 52722 78894 79083 84738 96858 98374 127107 145287 147561 156049 158166 237249 254214 290574 295122 312098 381321 435861 442683 468147 474498 543481 762642 871722 885366 936294 1086962 1143963 1328049 1404441 1426423 1630443 2287926 2620547 2656098 2808882 2852846 3260886 3984147 4213323 4279269 4891329 5241094 7861641 7968294 8426646 8558538 9782658 12639969 12837807 14673987 15723282 15760949 23584923 25279938 25675614 29347974 31521898 38513421 44021961 47169846 47282847 70754769 75995863 77026842 88043922 94565694 115540263 141509538 141848541 151991726 212264307 227987589 231080526 264675247 283697082 424528614 425545623 455975178 529350494 683962767 794025741 851091246 1276636869 1367925534 1588051482 2051888301 2382077223 2553273738 4103776602 4764154446 6155664903 7146231669 7675582163 12311329806 14292463338 15351164326 21438695007 23026746489 42877390014 46053492978 69080239467 138160478934 207240718401 414481436802 621722155203 1243444310406