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142516742260 = 225177120172927
BaseRepresentation
bin1000010010111010101…
…0001110100001110100
3111121212020101122002111
42010232222032201310
54313333241223020
6145245444220404
713203461215204
oct2045652164164
9447766348074
10142516742260
1155493a92922
122375469a704
1310593103ab9
146c7d99a404
153a91b57d5a
hex212ea8e874

142516742260 has 96 divisors (see below), whose sum is σ = 321622576128. Its totient is φ = 52853391360.

The previous prime is 142516742239. The next prime is 142516742273. The reversal of 142516742260 is 62247615241.

It is a happy number.

It is a super-2 number, since 2×1425167422602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48688917 + ... + 48691843.

It is an arithmetic number, because the mean of its divisors is an integer number (3350235168).

Almost surely, 2142516742260 is an apocalyptic number.

142516742260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142516742260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160811288064).

142516742260 is an abundant number, since it is smaller than the sum of its proper divisors (179105833868).

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

142516742260 is a wasteful number, since it uses less digits than its factorization.

142516742260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 142516742260 in words is "one hundred forty-two billion, five hundred sixteen million, seven hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2017 2414 2927 4034 4828 5854 6035 8068 10085 11708 12070 14635 20170 24140 29270 34289 40340 49759 58540 68578 99518 137156 143207 171445 199036 207817 248795 286414 342890 415634 497590 572828 685780 716035 831268 995180 1039085 1432070 2078170 2434519 2864140 3532889 4156340 4869038 5903759 7065778 9738076 11807518 12172595 14131556 17664445 23615036 24345190 29518795 35328890 48690380 59037590 70657780 100363903 118075180 200727806 401455612 419166889 501819515 838333778 1003639030 1676667556 2007278060 2095834445 4191668890 7125837113 8383337780 14251674226 28503348452 35629185565 71258371130 142516742260