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20111114444442 = 23717127499444461
BaseRepresentation
bin1001001001010011110111…
…10101010001111010011010
32122012121022010220010101220
410210221323311101322122
510114000030244210232
6110434530214152510
74143660110145330
oct444517365217232
978177263803356
1020111114444442
11645409189880a
122309803652736
13b2b61564b108
144d755145db50
1524d209c1942c
hex124a7bd51e9a

20111114444442 has 128 divisors (see below), whose sum is σ = 49153941504000. Its totient is φ = 5354683407360.

The previous prime is 20111114444417. The next prime is 20111114444453. The reversal of 20111114444442 is 24444441111102.

It is a happy number.

It is a super-3 number, since 3×201111144444423 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45026092 + ... + 45470552.

It is an arithmetic number, because the mean of its divisors is an integer number (384015168000).

Almost surely, 220111114444442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111114444442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24576970752000).

20111114444442 is an abundant number, since it is smaller than the sum of its proper divisors (29042827059558).

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

20111114444442 is a wasteful number, since it uses less digits than its factorization.

20111114444442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445116.

The product of its (nonzero) digits is 16384, while the sum is 33.

Adding to 20111114444442 its reverse (24444441111102), we get a palindrome (44555555555544).

The spelling of 20111114444442 in words is "twenty trillion, one hundred eleven billion, one hundred fourteen million, four hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 127 238 254 357 381 499 714 762 889 998 1497 1778 2159 2667 2994 3493 4318 5334 6477 6986 8483 10479 12954 15113 16966 20958 25449 30226 45339 50898 59381 63373 90678 118762 126746 178143 190119 356286 380238 443611 444461 887222 888922 1077341 1330833 1333383 2154682 2661666 2666766 3111227 3232023 6222454 6464046 7541387 7555837 9333681 15082774 15111674 18667362 22624161 22667511 45248322 45335022 52890859 56446547 105781718 112893094 158672577 169339641 221786039 317345154 338679282 395125829 443572078 665358117 790251658 959591299 1185377487 1330716234 1552502273 1919182598 2370754974 2878773897 3105004546 3770362663 4657506819 5757547794 6717139093 7540725326 9315013638 11311087989 13434278186 20151417279 22622175978 26392538641 28166826953 40302834558 52785077282 56333653906 79177615923 84500480859 158355231846 169000961718 197167788671 394335577342 478836058201 591503366013 957672116402 1183006732026 1436508174603 2873016349206 3351852407407 6703704814814 10055557222221 20111114444442