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104140214132444 = 22729213751896221
BaseRepresentation
bin10111101011011100001000…
…011110000101111011011100
3111122201201002120122011110022
4113223130020132011323130
5102122213124304214234
61005253204240131312
730635611405462460
oct2753341036057334
9448651076564408
10104140214132444
1130200686a47846
12b81b0a3006b38
1346154c2c98449
141ba05adda04a0
15c08dd5197e2e
hex5eb708785edc

104140214132444 has 144 divisors (see below), whose sum is σ = 217361505291840. Its totient is φ = 42762839562240.

The previous prime is 104140214132441. The next prime is 104140214132453. The reversal of 104140214132444 is 444231412041401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104140214132441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16740105254 + ... + 16740111474.

It is an arithmetic number, because the mean of its divisors is an integer number (1509454897860).

Almost surely, 2104140214132444 is an apocalyptic number.

104140214132444 is a gapful number since it is divisible by the number (14) 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 104140214132444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108680752645920).

104140214132444 is an abundant number, since it is smaller than the sum of its proper divisors (113221291159396).

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

104140214132444 is a wasteful number, since it uses less digits than its factorization.

104140214132444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11585 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

Adding to 104140214132444 its reverse (444231412041401), we get a palindrome (548371626173845).

The spelling of 104140214132444 in words is "one hundred four trillion, one hundred forty billion, two hundred fourteen million, one hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 137 203 274 406 548 812 841 959 1682 1918 3364 3836 3973 5189 5887 6221 7946 10378 11774 12442 15892 20756 23548 24884 27811 36323 43547 55622 72646 87094 111244 115217 145292 150481 174188 180409 230434 300962 360818 460868 601924 710893 721636 806519 852277 1053367 1262863 1421786 1613038 1704554 2106734 2525726 2843572 3226076 3409108 4213468 4363949 4976251 5051452 5231861 5965939 8727898 9952502 10463722 11931878 17455796 19905004 20615897 20927444 23863756 24716033 30547643 32280769 36623027 41231794 49432066 61095286 64561538 73246054 82463588 98864132 122190572 129123076 144311279 146492108 173012231 225965383 288622558 346024462 451930766 577245116 597861013 692048924 716764957 903861532 936142301 1195722026 1433529914 1872284602 2391444052 2867059828 3744569204 4185027091 4422465353 5017354699 6552996107 8370054182 8844930706 10034709398 13105992214 16740108364 17689861412 20069418796 26211984428 27148126729 30957257471 54296253458 61914514942 108592506916 123829029884 128251495237 190036887103 256502990474 380073774206 513005980948 760147548412 897760466659 1795520933318 3591041866636 3719293361873 7438586723746 14877173447492 26035053533111 52070107066222 104140214132444