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142811797251321 = 36112402372
BaseRepresentation
bin100000011110001011110110…
…011100011110010011111001
3200201122200012200211121000000
4200132023312130132103321
5122204312030044020241
61223422500044303213
742036545316416652
oct4036136634362371
9621580180747000
10142811797251321
11415601634a8300
1214025a71b41b09
13618c130078803
14273a1b0c24529
151179ce132ceb6
hex81e2f671e4f9

142811797251321 has 63 divisors (see below), whose sum is σ = 235360610829183. Its totient is φ = 86550453324720.

The previous prime is 142811797251311. The next prime is 142811797251457. The reversal of 142811797251321 is 123152797118241.

It is a happy number.

The square root of 142811797251321 is 11950389.

It is a perfect power (a square), and thus also a powerful number.

142811797251321 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 1 + 17 + 97 + 2 + 513 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108272245106025 + 34539552145296 = 10405395^2 + 5877036^2 .

It is not a de Polignac number, because 142811797251321 - 215 = 142811797218553 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (142811797251311) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3549245415 + ... + 3549285651.

Almost surely, 2142811797251321 is an apocalyptic number.

142811797251321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

142811797251321 is the 11950389-th square number.

142811797251321 is the 5975195-th centered octagonal number.

It is an amenable number.

142811797251321 is a deficient number, since it is larger than the sum of its proper divisors (92548813577862).

142811797251321 is an frugal number, since it uses more digits than its factorization.

142811797251321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80514 (or 40251 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The spelling of 142811797251321 in words is "one hundred forty-two trillion, eight hundred eleven billion, seven hundred ninety-seven million, two hundred fifty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2673 3267 8019 9801 29403 40237 88209 120711 362133 442607 1086399 1327821 3259197 3983463 4868677 9777591 11950389 14606031 29332773 35851167 43818093 107553501 131454279 322660503 394362837 1183088511 1619016169 3549265533 4857048507 14571145521 17809177859 43713436563 53427533577 131140309689 160282600731 195900956449 393420929067 480847802193 587702869347 1180262787201 1442543406579 1763108608041 4327630219737 5289325824123 12982890659211 15867977472369 47603932417107 142811797251321