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142500247120 = 24571167345271
BaseRepresentation
bin1000010010110110101…
…1010011011001010000
3111121211002100121000101
42010231223103121100
54313320030401440
6145244054502144
713203201054340
oct2045553233120
9447732317011
10142500247120
1155485746880
122374b064954
131058c879a6a
146c7b704d20
153a9049a69a
hex212dad3650

142500247120 has 160 divisors (see below), whose sum is σ = 419232024576. Its totient is φ = 43752614400.

The previous prime is 142500247069. The next prime is 142500247121. The reversal of 142500247120 is 21742005241.

It is a super-2 number, since 2×1425002471202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142500247121) by changing a digit.

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, 240085 + ... + 585355.

Almost surely, 2142500247120 is an apocalyptic number.

142500247120 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 142500247120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209616012288).

142500247120 is an abundant number, since it is smaller than the sum of its proper divisors (276731777456).

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

142500247120 is a wasteful number, since it uses less digits than its factorization.

142500247120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345369 (or 345363 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The spelling of 142500247120 in words is "one hundred forty-two billion, five hundred million, two hundred forty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 67 70 77 80 88 110 112 134 140 154 176 220 268 280 308 335 385 440 469 536 560 616 670 737 770 880 938 1072 1232 1340 1474 1540 1876 2345 2680 2948 3080 3685 3752 4690 5159 5360 5896 6160 7370 7504 9380 10318 11792 14740 18760 20636 25795 29480 37520 41272 51590 58960 82544 103180 206360 345271 412720 690542 1381084 1726355 2416897 2762168 3452710 3797981 4833794 5524336 6905420 7595962 9667588 12084485 13810840 15191924 18989905 19335176 23133157 24168970 26585867 27621680 30383848 37979810 38670352 46266314 48337940 53171734 60767696 75959620 92532628 96675880 106343468 115665785 132929335 151919240 161932099 185065256 193351760 212686936 231331570 254464727 265858670 303838480 323864198 370130512 425373872 462663140 508929454 531717340 647728396 809660495 925326280 1017858908 1063434680 1272323635 1295456792 1619320990 1781253089 1850652560 2035717816 2126869360 2544647270 2590913584 3238641980 3562506178 4071435632 5089294540 6477283960 7125012356 8906265445 10178589080 12954567920 14250024712 17812530890 20357178160 28500049424 35625061780 71250123560 142500247120