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42123324241012 = 2273234987267671
BaseRepresentation
bin10011001001111100110011…
…10001110011010001110100
312112010221122220002102011111
421210332121301303101310
521010122032001203022
6225331104335444404
711605211146231000
oct1144763161632164
9175127586072144
1042123324241012
11124704464214a3
124883948086704
131a6729b9350c1
14a58acb99b700
154d0ace940477
hex264f99c73474

42123324241012 has 96 divisors (see below), whose sum is σ = 89721941299200. Its totient is φ = 17264419492320.

The previous prime is 42123324240983. The next prime is 42123324241073. The reversal of 42123324241012 is 21014242332124.

It is a super-2 number, since 2×421233242410122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 157235937 + ... + 157503607.

It is an arithmetic number, because the mean of its divisors is an integer number (934603555200).

Almost surely, 242123324241012 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 42123324241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44860970649600).

42123324241012 is an abundant number, since it is smaller than the sum of its proper divisors (47598617058188).

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

42123324241012 is a wasteful number, since it uses less digits than its factorization.

42123324241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272706 (or 272690 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 42123324241012 its reverse (21014242332124), we get a palindrome (63137566573136).

The spelling of 42123324241012 in words is "forty-two trillion, one hundred twenty-three billion, three hundred twenty-four million, two hundred forty-one thousand, twelve".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 343 644 686 1127 1372 2254 4508 4987 7889 9974 15778 19948 31556 34909 69818 114701 139636 229402 244363 267671 458804 488726 535342 802907 977452 1070684 1605814 1710541 1873697 3211628 3421082 3747394 5620349 6156433 6842164 7494788 11240698 12312866 13115879 22481396 24625732 26231758 39342443 43095031 52463516 78684886 86190062 91811153 157369772 172380124 183622306 301665217 367244612 603330434 1206660868 1334875277 2111656519 2669750554 4223313038 5339501108 8446626076 9344126939 18688253878 30702131371 37376507756 61404262742 65408888573 122808525484 130817777146 214914919597 261635554292 429829839194 457862220011 859659678388 915724440022 1504404437179 1831448880044 3008808874358 6017617748716 10530831060253 21061662120506 42123324241012