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36142301114106 = 23112958732168867
BaseRepresentation
bin10000011011111000010010…
…00001001110111011111010
311201222011121002212220020220
420031330021001032323322
514214123413041122411
6204511313253000510
710420123625411235
oct1015741101167372
9151864532786226
1036142301114106
1110574955829740
124078753623136
1317222870062c5
148cd42224641c
1542a2269c4b06
hex20df0904eefa

36142301114106 has 64 divisors (see below), whose sum is σ = 81714071738880. Its totient is φ = 10556535066560.

The previous prime is 36142301114041. The next prime is 36142301114111. The reversal of 36142301114106 is 60141110324163.

36142301114106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14960916 + ... + 17207951.

It is an arithmetic number, because the mean of its divisors is an integer number (1276782370920).

Almost surely, 236142301114106 is an apocalyptic number.

36142301114106 is an abundant number, since it is smaller than the sum of its proper divisors (45571770624774).

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

36142301114106 is a wasteful number, since it uses less digits than its factorization.

36142301114106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32169499.

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 36142301114106 its reverse (60141110324163), we get a palindrome (96283411438269).

The spelling of 36142301114106 in words is "thirty-six trillion, one hundred forty-two billion, three hundred one million, one hundred fourteen thousand, one hundred six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 587 638 957 1174 1761 1914 3522 6457 12914 17023 19371 34046 38742 51069 102138 187253 374506 561759 1123518 32168867 64337734 96506601 193013202 353857537 707715074 932897143 1061572611 1865794286 2123145222 2798691429 5597382858 10261868573 18883124929 20523737146 30785605719 37766249858 56649374787 61571211438 113298749574 207714374219 415428748438 547610622941 623143122657 1095221245882 1246286245314 1642831868823 3285663737646 6023716852351 12047433704702 18071150557053 36142301114106