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202141143342 = 2321271573111811
BaseRepresentation
bin1011110001000010001…
…1010001000100101110
3201022202120020000222200
42330100203101010232
511302441113041332
6232510134122330
720414150240265
oct2742043210456
9638676200880
10202141143342
1178800450956
12332147b03a6
13160a5ab40b8
149ad85db5dc
1553d141717c
hex2f108d112e

202141143342 has 96 divisors (see below), whose sum is σ = 445907165184. Its totient is φ = 66173889600.

The previous prime is 202141143331. The next prime is 202141143343. The reversal of 202141143342 is 243341141202.

202141143342 is a `hidden beast` number, since 2 + 0 + 214 + 11 + 433 + 4 + 2 = 666.

It is a super-2 number, since 2×2021411433422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202141143343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111617617 + ... + 111619427.

It is an arithmetic number, because the mean of its divisors is an integer number (4644866304).

Almost surely, 2202141143342 is an apocalyptic number.

202141143342 is an abundant number, since it is smaller than the sum of its proper divisors (243766021842).

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

202141143342 is a wasteful number, since it uses less digits than its factorization.

202141143342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 202141143342 its reverse (243341141202), we get a palindrome (445482284544).

The spelling of 202141143342 in words is "two hundred two billion, one hundred forty-one million, one hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 127 157 254 311 314 381 471 622 762 933 942 1143 1413 1811 1866 2286 2799 2826 3622 5433 5598 10866 16299 19939 32598 39497 39878 48827 59817 78994 97654 118491 119634 146481 179451 229997 236982 284327 292962 355473 358902 439443 459994 563221 568654 689991 710946 852981 878886 1126442 1379982 1689663 1705962 2069973 2558943 3379326 4139946 5068989 5117886 6201029 10137978 12402058 18603087 36109529 37206174 55809261 71529067 72219058 88425697 108328587 111618522 143058134 176851394 214587201 216657174 265277091 324985761 429174402 530554182 643761603 649971522 795831273 1287523206 1591662546 11230063519 22460127038 33690190557 67380381114 101070571671 202141143342