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142312410 = 23351932731
BaseRepresentation
bin10000111101110…
…00001111011010
3100220210012221000
420132320033122
5242412444120
622042125430
73345430662
oct1036701732
9326705830
10142312410
1173371469
123b7b0876
1323639a36
1414c871a2
15c761990
hex87b83da

142312410 has 64 divisors (see below), whose sum is σ = 381605760. Its totient is φ = 37739520.

The previous prime is 142312403. The next prime is 142312411. The reversal of 142312410 is 14213241.

142312410 is a `hidden beast` number, since 1 + 423 + 1 + 241 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (142312411) 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, 50745 + ... + 53475.

It is an arithmetic number, because the mean of its divisors is an integer number (5962590).

Almost surely, 2142312410 is an apocalyptic number.

142312410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142312410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190802880).

142312410 is an abundant number, since it is smaller than the sum of its proper divisors (239293350).

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

142312410 is a wasteful number, since it uses less digits than its factorization.

142312410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142312410 is about 11929.4765182719. The cubic root of 142312410 is about 522.0926642206.

Adding to 142312410 its reverse (14213241), we get a palindrome (156525651).

It can be divided in two parts, 14231 and 2410, that added together give a square (16641 = 1292).

The spelling of 142312410 in words is "one hundred forty-two million, three hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 193 270 386 579 965 1158 1737 1930 2731 2895 3474 5211 5462 5790 8193 8685 10422 13655 16386 17370 24579 26055 27310 40965 49158 52110 73737 81930 122895 147474 245790 368685 527083 737370 1054166 1581249 2635415 3162498 4743747 5270830 7906245 9487494 14231241 15812490 23718735 28462482 47437470 71156205 142312410