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142341501680 = 245717927933
BaseRepresentation
bin1000010010010000110…
…1101111001011110000
3111121102000122111012122
42010210031233023300
54313003411023210
6145220224213412
713166232541550
oct2044415571360
9447360574178
10142341501680
1155404080aa4
1223705a6a268
1310565a08351
146c645c1160
153a8158eb55
hex212436f2f0

142341501680 has 120 divisors (see below), whose sum is σ = 380394424032. Its totient is φ = 48524041728.

The previous prime is 142341501671. The next prime is 142341501703. The reversal of 142341501680 is 86105143241.

It is a super-2 number, since 2×1423415016802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 142341501680.

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 23 ways as a sum of consecutive naturals, for example, 17938994 + ... + 17946926.

Almost surely, 2142341501680 is an apocalyptic number.

142341501680 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 142341501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190197212016).

142341501680 is an abundant number, since it is smaller than the sum of its proper divisors (238052922352).

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

142341501680 is an equidigital number, since it uses as much as digits as its factorization.

142341501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8126 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 142341501680 in words is "one hundred forty-two billion, three hundred forty-one million, five hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 179 280 358 560 716 895 1253 1432 1790 2506 2864 3580 5012 6265 7160 7933 10024 12530 14320 15866 20048 25060 31732 32041 39665 50120 55531 63464 64082 79330 100240 111062 126928 128164 158660 160205 222124 224287 256328 277655 317320 320410 444248 448574 512656 555310 634640 640820 888496 897148 1110620 1121435 1281640 1420007 1794296 2221240 2242870 2563280 2840014 3588592 4442480 4485740 5680028 7100035 8971480 9940049 11360056 14200070 17942960 19880098 22720112 28400140 39760196 49700245 56800280 79520392 99400490 113600560 159040784 198800980 254181253 397601960 508362506 795203920 1016725012 1270906265 1779268771 2033450024 2541812530 3558537542 4066900048 5083625060 7117075084 8896343855 10167250120 14234150168 17792687710 20334500240 28468300336 35585375420 71170750840 142341501680