Search a number
-
+
142320114114030 = 23251619976735393
BaseRepresentation
bin100000010111000001111011…
…110110001001110111101110
3200122220200002110021021120200
4200113001323312021313232
5122123233043203122110
61222404542520254330
741656201046621406
oct4027017366116756
9618820073237520
10142320114114030
1141390692159966
1213b667123113a6
136154962cc4098
14272048a3cb806
15116c1159356c0
hex81707bd89dee

142320114114030 has 48 divisors (see below), whose sum is σ = 370260853157520. Its totient is φ = 37928588742144.

The previous prime is 142320114113993. The next prime is 142320114114103. The reversal of 142320114114030 is 30411411023241.

It is a happy number.

142320114114030 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 201 + 1 + 411 + 40 + 3 + 0 = 666.

It is a super-4 number, since 4×1423201141140304 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142320114113985 and 142320114114003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488221987 + ... + 488513406.

It is an arithmetic number, because the mean of its divisors is an integer number (7713767774115).

Almost surely, 2142320114114030 is an apocalyptic number.

142320114114030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142320114114030 is an abundant number, since it is smaller than the sum of its proper divisors (227940739043490).

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

142320114114030 is a wasteful number, since it uses less digits than its factorization.

142320114114030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976737025 (or 976737022 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 142320114114030 its reverse (30411411023241), we get a palindrome (172731525137271).

The spelling of 142320114114030 in words is "one hundred forty-two trillion, three hundred twenty billion, one hundred fourteen million, one hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1619 3238 4857 8095 9714 14571 16190 24285 29142 48570 72855 145710 976735393 1953470786 2930206179 4883676965 5860412358 8790618537 9767353930 14651030895 17581237074 29302061790 43953092685 87906185370 1581334601267 3162669202534 4744003803801 7906673006335 9488007607602 14232011411403 15813346012670 23720019019005 28464022822806 47440038038010 71160057057015 142320114114030