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142432412320026 = 232293721271569391
BaseRepresentation
bin100000011000101010100001…
…010101110100000100011010
3200200022101221201011012220100
4200120222201111310010122
5122132103040023220101
61222532314044440230
742000254645622033
oct4030524125640432
9620271851135810
10142432412320026
1141424279605174
1213b84432849076
13616241b68869a
142725aa08d3a8a
15116eed9697e86
hex818aa157411a

142432412320026 has 144 divisors (see below), whose sum is σ = 330690229309440. Its totient is φ = 44250168896640.

The previous prime is 142432412320021. The next prime is 142432412320087. The reversal of 142432412320026 is 620023214234241.

142432412320026 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 32 + 412 + 3 + 200 + 2 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (142432412320021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89971791 + ... + 91541181.

It is an arithmetic number, because the mean of its divisors is an integer number (2296459925760).

Almost surely, 2142432412320026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142432412320026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165345114654720).

142432412320026 is an abundant number, since it is smaller than the sum of its proper divisors (188257816989414).

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

142432412320026 is a wasteful number, since it uses less digits than its factorization.

142432412320026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569629 (or 1569589 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 142432412320026 its reverse (620023214234241), we get a palindrome (762455626554267).

The spelling of 142432412320026 in words is "one hundred forty-two trillion, four hundred thirty-two billion, four hundred twelve million, three hundred twenty thousand, twenty-six".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 127 174 222 254 261 333 381 522 666 762 1073 1143 1369 2146 2286 2738 3219 3683 4107 4699 6438 7366 8214 9398 9657 11049 12321 14097 19314 22098 24642 28194 33147 39701 42291 66294 79402 84582 119103 136271 173863 238206 272542 347726 357309 408813 521589 714618 817626 1043178 1226439 1564767 1569391 2452878 3129534 3138782 4708173 5042027 9416346 10084054 14124519 15126081 28249038 30252162 45378243 45512339 58067467 90756486 91024678 116134934 136537017 174202401 199312657 273074034 348404802 398625314 409611051 522607203 597937971 819222102 1045214406 1195875942 1683956543 1793813913 2148496279 3367913086 3587627826 4296992558 5051869629 5780067053 6445488837 7374568309 10103739258 11560134106 12890977674 14749136618 15155608887 17340201159 19336466511 22123704927 30311217774 34680402318 38672933022 44247409854 52020603477 62306392091 66371114781 104041206954 124612784182 132742229562 186919176273 213862480961 272859027433 373838352546 427724961922 545718054866 560757528819 641587442883 818577082299 1121515057638 1283174885766 1637154164598 1924762328649 2455731246897 3849524657298 4911462493794 7912911795557 15825823591114 23738735386671 47477470773342 71216206160013 142432412320026