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142398312 = 23372196373
BaseRepresentation
bin10000111110011…
…01001101101000
3100220221120202120
420133031031220
5242423221222
622044031240
73346236300
oct1037151550
9326846676
10142398312
117341aa61
123b832520
1323669b74
1414caa600
15c77c15c
hex87cd368

142398312 has 96 divisors (see below), whose sum is σ = 435981600. Its totient is φ = 38537856.

The previous prime is 142398301. The next prime is 142398317. The reversal of 142398312 is 213893241.

142398312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142398317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19158 + ... + 25530.

It is an arithmetic number, because the mean of its divisors is an integer number (4541475).

Almost surely, 2142398312 is an apocalyptic number.

142398312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142398312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217990800).

142398312 is an abundant number, since it is smaller than the sum of its proper divisors (293583288).

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

142398312 is a wasteful number, since it uses less digits than its factorization.

142398312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415 (or 6404 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 142398312 is about 11933.0763845707. The cubic root of 142398312 is about 522.1976908618.

The spelling of 142398312 in words is "one hundred forty-two million, three hundred ninety-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 6373 7448 11172 12746 19119 22344 25492 38238 44611 50984 76476 89222 121087 133833 152952 178444 242174 267666 312277 356888 363261 484348 535332 624554 726522 847609 936831 968696 1070664 1249108 1453044 1695218 1873662 2498216 2542827 2906088 3390436 3747324 5085654 5933263 6780872 7494648 10171308 11866526 17799789 20342616 23733052 35599578 47466104 71199156 142398312