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142376536146 = 23137131781101
BaseRepresentation
bin1000010010011001001…
…1011000100001010010
3111121111110120102110110
42010212103120201102
54313041343124041
6145223515142150
713200136406055
oct2044623304122
9447443512413
10142376536146
115542192a9a9
1223715744956
13105700539c0
146c69100a9c
153a846b0516
hex21264d8852

142376536146 has 64 divisors (see below), whose sum is σ = 311961113856. Its totient is φ = 43054368000.

The previous prime is 142376536091. The next prime is 142376536151. The reversal of 142376536146 is 641635673241.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 142376536095 and 142376536104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714996 + ... + 1796096.

It is an arithmetic number, because the mean of its divisors is an integer number (4874392404).

Almost surely, 2142376536146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142376536146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155980556928).

142376536146 is an abundant number, since it is smaller than the sum of its proper divisors (169584577710).

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

142376536146 is a wasteful number, since it uses less digits than its factorization.

142376536146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81507.

The product of its digits is 2177280, while the sum is 48.

The spelling of 142376536146 in words is "one hundred forty-two billion, three hundred seventy-six million, five hundred thirty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 317 426 634 923 951 1846 1902 2769 4121 5538 8242 12363 22507 24726 45014 67521 81101 135042 162202 243303 292591 486606 585182 877773 1054313 1755546 2108626 3162939 5758171 6325878 11516342 17274513 25709017 34549026 51418034 74856223 77127051 149712446 154254102 224568669 334217221 449137338 668434442 1002651663 1825340207 2005303326 3650680414 5476020621 10952041242 23729422691 47458845382 71188268073 142376536146