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142524144 = 2433726733
BaseRepresentation
bin10000111111010…
…11111011110000
3100221011222101000
420133223323300
5242441233034
622050442000
73350302200
oct1037537360
9327158330
10142524144
11734a6554
123b893300
13236b2219
1414d00400
15c7a4599
hex87ebef0

142524144 has 120 divisors (see below), whose sum is σ = 475959120. Its totient is φ = 40715136.

The previous prime is 142524139. The next prime is 142524157. The reversal of 142524144 is 441425241.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17802 + ... + 24534.

It is an arithmetic number, because the mean of its divisors is an integer number (3966326).

Almost surely, 2142524144 is an apocalyptic number.

142524144 is a gapful number since it is divisible by the number (14) 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 142524144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237979560).

142524144 is an abundant number, since it is smaller than the sum of its proper divisors (333434976).

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

142524144 is a wasteful number, since it uses less digits than its factorization.

142524144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6745 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 142524144 is about 11938.3476243574. The cubic root of 142524144 is about 522.3514610236.

Adding to 142524144 its reverse (441425241), we get a palindrome (583949385).

The spelling of 142524144 in words is "one hundred forty-two million, five hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 6733 7056 10584 13466 20199 21168 26932 40398 47131 53864 60597 80796 94262 107728 121194 141393 161592 181791 188524 242388 282786 323184 329917 363582 377048 424179 484776 565572 659834 727164 754096 848358 969552 989751 1131144 1272537 1319668 1454328 1696716 1979502 2262288 2545074 2639336 2908656 2969253 3393432 3959004 5090148 5278672 5938506 6786864 7918008 8907759 10180296 11877012 15836016 17815518 20360592 23754024 35631036 47508048 71262072 142524144