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142374329006 = 271337184711447
BaseRepresentation
bin1000010010011000101…
…0111101101010101110
3111121111022102021211112
42010212022331222232
54313040312012011
6145223355552022
713200111554210
oct2044612755256
9447438367745
10142374329006
1155420662718
1223714a5b612
131056c7601c0
146c68ac85b0
153a843c658b
hex21262bdaae

142374329006 has 64 divisors (see below), whose sum is σ = 270118582272. Its totient is φ = 54767187072.

The previous prime is 142374328997. The next prime is 142374329047. The reversal of 142374329006 is 600923473241.

142374329006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12431975 + ... + 12443421.

It is an arithmetic number, because the mean of its divisors is an integer number (4220602848).

Almost surely, 2142374329006 is an apocalyptic number.

142374329006 is a deficient number, since it is larger than the sum of its proper divisors (127744253266).

142374329006 is a wasteful number, since it uses less digits than its factorization.

142374329006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353.

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 142374329006 in words is "one hundred forty-two billion, three hundred seventy-four million, three hundred twenty-nine thousand, six".

Divisors: 1 2 7 13 14 26 37 74 91 182 259 481 518 962 1847 3367 3694 6734 11447 12929 22894 24011 25858 48022 68339 80129 136678 148811 160258 168077 297622 336154 423539 478373 847078 888407 956746 1041677 1776814 2083354 2964773 5506007 5929546 6218849 11012014 12437698 21142609 38542049 42285218 77084098 147998263 274853917 295996526 549707834 782276533 1564553066 1923977419 3847954838 5475935731 10169594929 10951871462 20339189858 71187164503 142374329006