Search a number
-
+
42252244323152 = 2417307949753279
BaseRepresentation
bin10011001101101100111100…
…00000111000101101010000
312112121021102112222010222112
421212312132000320231100
521014230044021320102
6225510225120324452
711620424000652533
oct1146663600705520
9175537375863875
1042252244323152
1112510092452326
1248a4927173728
131a764a5b6a886
14a6103b874a1a
154d4127a88252
hex266d9e038b50

42252244323152 has 80 divisors (see below), whose sum is σ = 86972368412160. Its totient is φ = 19816183517184.

The previous prime is 42252244323131. The next prime is 42252244323167. The reversal of 42252244323152 is 25132344225224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 793010849 + ... + 793064127.

It is an arithmetic number, because the mean of its divisors is an integer number (1087154605152).

Almost surely, 242252244323152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42252244323152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43486184206080).

42252244323152 is an abundant number, since it is smaller than the sum of its proper divisors (44720124089008).

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

42252244323152 is a wasteful number, since it uses less digits than its factorization.

42252244323152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63108 (or 63102 counting only the distinct ones).

The product of its digits is 921600, while the sum is 41.

Adding to 42252244323152 its reverse (25132344225224), we get a palindrome (67384588548376).

The spelling of 42252244323152 in words is "forty-two trillion, two hundred fifty-two billion, two hundred forty-four million, three hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 307 614 1228 2456 4912 5219 9497 10438 18994 20876 37988 41752 53279 75976 83504 106558 151952 161449 213116 322898 426232 645796 852464 905743 1291592 1811486 2583184 2915579 3622972 5831158 7245944 11662316 14491888 16356653 23324632 32713306 46649264 49564843 65426612 99129686 130853224 198259372 261706448 278063101 396518744 505990663 556126202 793037488 1011981326 1112252404 2023962652 2224504808 4047925304 4449009616 8095850608 8601841271 17203682542 34407365084 68814730168 137629460336 155339133541 310678267082 621356534164 1242713068328 2485426136656 2640765270197 5281530540394 10563061080788 21126122161576 42252244323152