Search a number
-
+
142214433441030 = 23251798827711573
BaseRepresentation
bin100000010101011111100000…
…110010011000010100000110
3200122112120022101102211221200
4200111133200302120110012
5122120020124430103110
61222244224144523330
741645440144001136
oct4025374062302406
9618476271384850
10142214433441030
114134a891178095
1213b4a13a020546
1361479c0622692
142719302b22ac6
1511694ccb3d6c0
hex8157e0c98506

142214433441030 has 48 divisors (see below), whose sum is σ = 371823211496880. Its totient is φ = 37711983835584.

The previous prime is 142214433441019. The next prime is 142214433441037. The reversal of 142214433441030 is 30144334412241.

142214433441030 is a `hidden beast` number, since 1 + 4 + 2 + 214 + 4 + 334 + 4 + 103 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142214433441037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4413839677 + ... + 4413871896.

It is an arithmetic number, because the mean of its divisors is an integer number (7746316906185).

Almost surely, 2142214433441030 is an apocalyptic number.

142214433441030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142214433441030 is an abundant number, since it is smaller than the sum of its proper divisors (229608778055850).

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

142214433441030 is a wasteful number, since it uses less digits than its factorization.

142214433441030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8827711765 (or 8827711762 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 142214433441030 its reverse (30144334412241), we get a palindrome (172358767853271).

The spelling of 142214433441030 in words is "one hundred forty-two trillion, two hundred fourteen billion, four hundred thirty-three million, four hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 5370 8055 16110 8827711573 17655423146 26483134719 44138557865 52966269438 79449404157 88277115730 132415673595 158898808314 264831347190 397247020785 794494041570 1580160371567 3160320743134 4740481114701 7900801857835 9480962229402 14221443344103 15801603715670 23702405573505 28442886688206 47404811147010 71107216720515 142214433441030