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142114422402 = 23817637073
BaseRepresentation
bin1000010001011010101…
…1011111111010000010
3111120211012100200000000
42010112223133322002
54312022243004102
6145141513140430
713160504442051
oct2042653377202
9446735320000
10142114422402
11552a7982a77
12236619ba716
131052a95c604
146c42390398
153a6b68701c
hex2116adfe82

142114422402 has 72 divisors (see below), whose sum is σ = 338550042636. Its totient is φ = 44584846848.

The previous prime is 142114422353. The next prime is 142114422409. The reversal of 142114422402 is 204224411241.

142114422402 is a `hidden beast` number, since 1 + 4 + 211 + 4 + 42 + 2 + 402 = 666.

142114422402 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 2 ways, for example, as 122500700001 + 19613722401 = 350001^2 + 140049^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142114422409) 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 35 ways as a sum of consecutive naturals, for example, 95463 + ... + 541610.

Almost surely, 2142114422402 is an apocalyptic number.

142114422402 is an abundant number, since it is smaller than the sum of its proper divisors (196435620234).

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

142114422402 is an frugal number, since it uses more digits than its factorization.

142114422402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637116 (or 637095 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 142114422402 its reverse (204224411241), we get a palindrome (346338833643).

The spelling of 142114422402 in words is "one hundred forty-two billion, one hundred fourteen million, four hundred twenty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2187 2754 4131 4374 6561 8262 12393 13122 24786 37179 74358 111537 223074 637073 1274146 1911219 3822438 5733657 10830241 11467314 17200971 21660482 32490723 34401942 51602913 64981446 97472169 103205826 154808739 194944338 292416507 309617478 464426217 584833014 877249521 928852434 1393278651 1754499042 2631748563 2786557302 4179835953 5263497126 7895245689 8359671906 15790491378 23685737067 47371474134 71057211201 142114422402