Search a number
-
+
42002211425140 = 2254095134744673
BaseRepresentation
bin10011000110011011001101…
…11001000100101101110100
312111201101001022221220021101
421203031212321010231310
521001131012111101030
6225155314411455444
711563362645254311
oct1143154671045564
9174641038856241
1042002211425140
111242404639933a
124864387757584
131a58a3a030905
14a52cbc93bd08
154cc891e217ca
hex263366e44b74

42002211425140 has 24 divisors (see below), whose sum is σ = 88420303286280. Its totient is φ = 16759806609408.

The previous prime is 42002211425131. The next prime is 42002211425173. The reversal of 42002211425140 is 4152411220024.

42002211425140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22667863722084 + 19334347703056 = 4761078^2 + 4397084^2 .

It is a super-2 number, since 2×420022114251402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42002211425099 and 42002211425108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2567364157 + ... + 2567380516.

It is an arithmetic number, because the mean of its divisors is an integer number (3684179303595).

Almost surely, 242002211425140 is an apocalyptic number.

It is an amenable number.

42002211425140 is an abundant number, since it is smaller than the sum of its proper divisors (46418091861140).

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

42002211425140 is a wasteful number, since it uses less digits than its factorization.

42002211425140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134745091 (or 5134745089 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 42002211425140 its reverse (4152411220024), we get a palindrome (46154622645164).

The spelling of 42002211425140 in words is "forty-two trillion, two billion, two hundred eleven million, four hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 8180 5134744673 10269489346 20538978692 25673723365 51347446730 102694893460 2100110571257 4200221142514 8400442285028 10500552856285 21001105712570 42002211425140