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142504707120 = 2435719825827
BaseRepresentation
bin1000010010110111110…
…0010100010000110000
3111121211101202011222120
42010231330110100300
54313322201111440
6145244334234240
713203254011266
oct2045574242060
9447741664876
10142504707120
1155488212726
1223750655980
131059077bb09
146c7c146436
153a90a7bdd0
hex212df14430

142504707120 has 80 divisors (see below), whose sum is σ = 442379543040. Its totient is φ = 37948356352.

The previous prime is 142504707091. The next prime is 142504707143. The reversal of 142504707120 is 21707405241.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240354 + ... + 585473.

It is an arithmetic number, because the mean of its divisors is an integer number (5529744288).

Almost surely, 2142504707120 is an apocalyptic number.

142504707120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142504707120 is an abundant number, since it is smaller than the sum of its proper divisors (299874835920).

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

142504707120 is a wasteful number, since it uses less digits than its factorization.

142504707120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826562 (or 826556 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The spelling of 142504707120 in words is "one hundred forty-two billion, five hundred four million, seven hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 719 1438 2157 2876 3595 4314 5752 7190 8628 10785 11504 14380 17256 21570 28760 34512 43140 57520 86280 172560 825827 1651654 2477481 3303308 4129135 4954962 6606616 8258270 9909924 12387405 13213232 16516540 19819848 24774810 33033080 39639696 49549620 66066160 99099240 198198480 593769613 1187539226 1781308839 2375078452 2968848065 3562617678 4750156904 5937696130 7125235356 8906544195 9500313808 11875392260 14250470712 17813088390 23750784520 28500941424 35626176780 47501569040 71252353560 142504707120