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424139123142 = 232741479171403
BaseRepresentation
bin1100010110000001010…
…10010110100111000110
31111112202222120212202200
412023000222112213012
523422114103420032
6522502525215330
742433364030220
oct6130052264706
91445688525680
10424139123142
11153970528949
126a24b401546
1330cc46c8867
1416758095410
15b075c1b47c
hex62c0a969c6

424139123142 has 96 divisors (see below), whose sum is σ = 1078117447680. Its totient is φ = 117979424640.

The previous prime is 424139123113. The next prime is 424139123147. The reversal of 424139123142 is 241321931424.

424139123142 is a `hidden beast` number, since 4 + 2 + 413 + 9 + 1 + 231 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 424139123097 and 424139123106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424139123147) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2388813 + ... + 2560215.

It is an arithmetic number, because the mean of its divisors is an integer number (11230390080).

Almost surely, 2424139123142 is an apocalyptic number.

424139123142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 424139123142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539058723840).

424139123142 is an abundant number, since it is smaller than the sum of its proper divisors (653978324538).

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

424139123142 is a wasteful number, since it uses less digits than its factorization.

424139123142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171938 (or 171935 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 424139123142 in words is "four hundred twenty-four billion, one hundred thirty-nine million, one hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 479 574 738 861 958 1437 1722 2583 2874 3353 4311 5166 6706 8622 10059 19639 20118 30177 39278 58917 60354 117834 137473 171403 176751 274946 342806 353502 412419 514209 824838 1028418 1199821 1237257 1542627 2399642 2474514 3085254 3599463 7027523 7198926 10798389 14055046 21082569 21596778 42165138 49192661 63247707 82102037 98385322 126495414 147577983 164204074 246306111 295155966 442733949 492612222 574714259 738918333 885467898 1149428518 1477836666 1724142777 3366183517 3448285554 5172428331 6732367034 10098550551 10344856662 20197101102 23563284619 30295651653 47126569238 60591303306 70689853857 141379707714 212069561571 424139123142