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142311040214244 = 223116721391727827
BaseRepresentation
bin100000010110111001011110…
…111111111110010011100100
3200122212210200002010102010020
4200112321132333332103210
5122123111002243323434
61222400442255155140
741655430146012156
oct4026713677762344
9618783602112106
10142311040214244
1141387856183730
1213b649bb515ab0
136153b4813b205
14271dc6925aad6
15116bc8400c849
hex816e5effe4e4

142311040214244 has 144 divisors (see below), whose sum is σ = 370379421699840. Its totient is φ = 42175265077440.

The previous prime is 142311040214183. The next prime is 142311040214249. The reversal of 142311040214244 is 442412040113241.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (142311040214249) 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, 81500259 + ... + 83228085.

It is an arithmetic number, because the mean of its divisors is an integer number (2572079317360).

Almost surely, 2142311040214244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142311040214244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185189710849920).

142311040214244 is an abundant number, since it is smaller than the sum of its proper divisors (228068381485596).

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

142311040214244 is a wasteful number, since it uses less digits than its factorization.

142311040214244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728118 (or 1728049 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 142311040214244 its reverse (442412040113241), we get a palindrome (584723080327485).

The spelling of 142311040214244 in words is "one hundred forty-two trillion, three hundred eleven billion, forty million, two hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 139 201 268 278 402 417 556 737 804 834 1474 1529 1668 2211 2948 3058 4422 4489 4587 6116 8844 8978 9174 9313 13467 17956 18348 18626 26934 27939 37252 49379 53868 55878 98758 102443 111756 148137 197516 204886 296274 307329 409772 592548 614658 623971 1229316 1247942 1727827 1871913 2495884 3455654 3743826 5183481 6863681 6911308 7487652 10366962 13727362 19006097 20591043 20733924 27454724 38012194 41182086 57018291 76024388 82364172 114036582 115764409 228073164 231528818 240167953 347293227 463057636 480335906 694586454 720503859 960671812 1273408499 1389172908 1441007718 2546816998 2641847483 2882015436 3820225497 5093633996 5283694966 7640450994 7756215403 7925542449 10567389932 15280901988 15512430806 15851084898 16091252851 23268646209 31024861612 31702169796 32182505702 46537292418 48273758553 64365011404 85318369433 93074584836 96547517106 170636738866 177003781361 193095034212 255955108299 341273477732 354007562722 511910216598 531011344083 708015125444 1023820433196 1062022688166 1078113941017 2124045376332 2156227882034 3234341823051 4312455764068 6468683646102 11859253351187 12937367292204 23718506702374 35577760053561 47437013404748 71155520107122 142311040214244