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142079503168 = 26891071132063
BaseRepresentation
bin1000010001010010011…
…0010010101101000000
3111120201202122120211001
42010110212102231000
54311434323100133
6145134224501344
713156601564521
oct2042446225500
9446652576731
10142079503168
115528a1a26a9
122365217a854
1310523654545
146c3b8a0848
153a6858a87d
hex2114992b40

142079503168 has 112 divisors (see below), whose sum is σ = 290458794240. Its totient is φ = 68935860224.

The previous prime is 142079503157. The next prime is 142079503183. The reversal of 142079503168 is 861305970241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68869305 + ... + 68871367.

It is a 1-persistent number, because it is pandigital, but 2⋅142079503168 = 284159006336 is not.

Almost surely, 2142079503168 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 142079503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145229397120).

142079503168 is an abundant number, since it is smaller than the sum of its proper divisors (148379291072).

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

142079503168 is a wasteful number, since it uses less digits than its factorization.

142079503168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 142079503168 in words is "one hundred forty-two billion, seventy-nine million, five hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 107 113 178 214 226 356 428 452 712 856 904 1424 1712 1808 2063 2848 3424 3616 4126 5696 6848 7232 8252 9523 10057 12091 16504 19046 20114 24182 33008 38092 40228 48364 66016 76184 80456 96728 132032 152368 160912 183607 193456 220741 233119 304736 321824 367214 386912 441482 466238 609472 643648 734428 773824 882964 932476 1076099 1468856 1765928 1864952 2152198 2937712 3531856 3729904 4304396 5875424 7063712 7459808 8608792 11750848 14127424 14919616 17217584 19645949 20747591 24943733 34435168 39291898 41495182 49887466 68870336 78583796 82990364 99774932 157167592 165980728 199549864 314335184 331961456 399099728 628670368 663922912 798199456 1257340736 1327845824 1596398912 2219992237 4439984474 8879968948 17759937896 35519875792 71039751584 142079503168