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142398144 = 2632735317
BaseRepresentation
bin10000111110011…
…01001011000000
3100220221120112100
420133031023000
5242423220034
622044030400
73346235640
oct1037151300
9326846470
10142398144
117341a919
123b832400
1323669a75
1414caa520
15c77c099
hex87cd2c0

142398144 has 84 divisors (see below), whose sum is σ = 466480144. Its totient is φ = 40684032.

The previous prime is 142398143. The next prime is 142398167. The reversal of 142398144 is 441893241.

It is a happy number.

142398144 is a `hidden beast` number, since 1 + 423 + 98 + 144 = 666.

142398144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142398099 and 142398108.

It is not an unprimeable number, because it can be changed into a prime (142398143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13627 + ... + 21690.

Almost surely, 2142398144 is an apocalyptic number.

142398144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142398144 is an abundant number, since it is smaller than the sum of its proper divisors (324082000).

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

142398144 is a wasteful number, since it uses less digits than its factorization.

142398144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35342 (or 35329 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 142398144 is about 11933.0693453110. The cubic root of 142398144 is about 522.1974855007.

The spelling of 142398144 in words is "one hundred forty-two million, three hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 35317 70634 105951 141268 211902 247219 282536 317853 423804 494438 565072 635706 741657 847608 988876 1130144 1271412 1483314 1695216 1977752 2224971 2260288 2542824 2966628 3390432 3955504 4449942 5085648 5933256 6780864 7911008 8899884 10171296 11866512 15822016 17799768 20342592 23733024 35599536 47466048 71199072 142398144