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142815312 = 2434263419
BaseRepresentation
bin10001000001100…
…11000001010000
3100221201202210000
420200303001100
5243030042222
622101010000
73352624113
oct1040630120
9327652700
10142815312
1173685292
123b9b3900
1323784903
1414d7857a
15c8109ac
hex8833050

142815312 has 100 divisors (see below), whose sum is σ = 415910880. Its totient is φ = 47310912.

The previous prime is 142815307. The next prime is 142815319. The reversal of 142815312 is 213518241.

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 (142815319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 340639 + ... + 341057.

Almost surely, 2142815312 is an apocalyptic number.

142815312 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 142815312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207955440).

142815312 is an abundant number, since it is smaller than the sum of its proper divisors (273095568).

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

142815312 is a wasteful number, since it uses less digits than its factorization.

142815312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 687 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 142815312 is about 11950.5360549224. The cubic root of 142815312 is about 522.7069296289.

The spelling of 142815312 in words is "one hundred forty-two million, eight hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 263 324 419 432 526 648 789 838 1052 1257 1296 1578 1676 2104 2367 2514 3156 3352 3771 4208 4734 5028 6312 6704 7101 7542 9468 10056 11313 12624 14202 15084 18936 20112 21303 22626 28404 30168 33939 37872 42606 45252 56808 60336 67878 85212 90504 110197 113616 135756 170424 181008 220394 271512 330591 340848 440788 543024 661182 881576 991773 1322364 1763152 1983546 2644728 2975319 3967092 5289456 5950638 7934184 8925957 11901276 15868368 17851914 23802552 35703828 47605104 71407656 142815312