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142220223414 = 23337115161843
BaseRepresentation
bin1000010001110011111…
…1000110001110110110
3111121002120102220201000
42010130333012032312
54312231334122124
6145200212544130
713163230644603
oct2043477061666
9447076386630
10142220223414
1155351676925
1223691322046
1310546854669
146c524516aa
153a75ad56c9
hex211cfc63b6

142220223414 has 64 divisors (see below), whose sum is σ = 324873953280. Its totient is φ = 46084658400.

The previous prime is 142220223413. The next prime is 142220223503. The reversal of 142220223414 is 414322022241.

It is a happy number.

142220223414 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 20 + 223 + 414 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142220223413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268777 + ... + 2330619.

It is an arithmetic number, because the mean of its divisors is an integer number (5076155520).

Almost surely, 2142220223414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142220223414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162436976640).

142220223414 is an abundant number, since it is smaller than the sum of its proper divisors (182653729866).

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

142220223414 is a wasteful number, since it uses less digits than its factorization.

142220223414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63042 (or 63036 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 142220223414 its reverse (414322022241), we get a palindrome (556542245655).

The spelling of 142220223414 in words is "one hundred forty-two billion, two hundred twenty million, two hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1151 1998 2302 3453 6906 10359 20718 31077 42587 61843 62154 85174 123686 127761 185529 255522 371058 383283 556587 766566 1113174 1149849 1669761 2288191 2299698 3339522 4576382 6864573 13729146 20593719 41187438 61781157 71181293 123562314 142362586 213543879 427087758 640631637 1281263274 1921894911 2633707841 3843789822 5267415682 7901123523 15802247046 23703370569 47406741138 71110111707 142220223414