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201042241434 = 233171427153469
BaseRepresentation
bin1011101100111100001…
…1010010011110011010
3201012220222110000222000
42323033003102132122
511243213303211214
6232205120541430
720345004566526
oct2731703223632
9635828400860
10201042241434
1178297116661
1232b68781876
1315c5c229198
149a326a6d86
155369beb809
hex2ecf0d279a

201042241434 has 64 divisors (see below), whose sum is σ = 473375145600. Its totient is φ = 63027465984.

The previous prime is 201042241427. The next prime is 201042241459. The reversal of 201042241434 is 434142240102.

201042241434 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 4 + 224 + 1 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 201042241398 and 201042241407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233252 + ... + 1386720.

It is an arithmetic number, because the mean of its divisors is an integer number (7396486650).

Almost surely, 2201042241434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201042241434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236687572800).

201042241434 is an abundant number, since it is smaller than the sum of its proper divisors (272332904166).

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

201042241434 is a wasteful number, since it uses less digits than its factorization.

201042241434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154924 (or 154918 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 201042241434 its reverse (434142240102), we get a palindrome (635184481536).

The spelling of 201042241434 in words is "two hundred one billion, forty-two million, two hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1427 2854 4281 8562 12843 24259 25686 38529 48518 72777 77058 145554 153469 218331 306938 436662 460407 654993 920814 1309986 1381221 2608973 2762442 4143663 5217946 7826919 8287326 15653838 23480757 46961514 70442271 140884542 219000263 438000526 657000789 1314001578 1971002367 3723004471 3942004734 5913007101 7446008942 11169013413 11826014202 22338026826 33507040239 67014080478 100521120717 201042241434