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142055235540 = 22345471865711
BaseRepresentation
bin1000010001001100100…
…1101101111111010100
3111120200001222122220000
42010103021231333110
54311412120014130
6145132000411300
713156155402441
oct2042311557724
9446601878800
10142055235540
1155277528009
1223646016b30
131051b6087ba
146c385849c8
153a66395260
hex211326dfd4

142055235540 has 120 divisors (see below), whose sum is σ = 455114322432. Its totient is φ = 37075389120.

The previous prime is 142055235527. The next prime is 142055235557. The reversal of 142055235540 is 45532550241.

142055235540 is a `hidden beast` number, since 1 + 4 + 20 + 552 + 35 + 54 + 0 = 666.

142055235540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142055235495 and 142055235504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 856716 + ... + 1008995.

Almost surely, 2142055235540 is an apocalyptic number.

142055235540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142055235540 is an abundant number, since it is smaller than the sum of its proper divisors (313059086892).

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

142055235540 is a wasteful number, since it uses less digits than its factorization.

142055235540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865779 (or 1865768 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 142055235540 its reverse (45532550241), we get a palindrome (187587785781).

The spelling of 142055235540 in words is "one hundred forty-two billion, fifty-five million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 108 135 141 162 180 188 235 270 282 324 405 423 470 540 564 705 810 846 940 1269 1410 1620 1692 2115 2538 2820 3807 4230 5076 6345 7614 8460 12690 15228 19035 25380 38070 76140 1865711 3731422 5597133 7462844 9328555 11194266 16791399 18657110 22388532 27985665 33582798 37314220 50374197 55971330 67165596 83956995 87688417 100748394 111942660 151122591 167913990 175376834 201496788 251870985 263065251 302245182 335827980 350753668 438442085 503741970 526130502 604490364 755612955 789195753 876884170 1007483940 1052261004 1315326255 1511225910 1578391506 1753768340 2367587259 2630652510 3022451820 3156783012 3945978765 4735174518 5261305020 7102761777 7891957530 9470349036 11837936295 14205523554 15783915060 23675872590 28411047108 35513808885 47351745180 71027617770 142055235540