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142271424 = 2633281293
BaseRepresentation
bin10000111101011…
…10001111000000
3100220201010201000
420132232033000
5242410141144
622041212000
73345200331
oct1036561700
9326633630
10142271424
1173343699
123b791000
1323624199
1414c76288
15c754769
hex87ae3c0

142271424 has 112 divisors (see below), whose sum is σ = 421172640. Its totient is φ = 47093760.

The previous prime is 142271417. The next prime is 142271429. The reversal of 142271424 is 424172241.

142271424 is a `hidden beast` number, since 14 + 227 + 1 + 424 = 666.

It is a super-3 number, since 3×1422714243 (a number of 25 digits) contains 333 as substring.

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 (142271429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485422 + ... + 485714.

It is an arithmetic number, because the mean of its divisors is an integer number (3760470).

Almost surely, 2142271424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210586320).

142271424 is an abundant number, since it is smaller than the sum of its proper divisors (278901216).

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

142271424 is a wasteful number, since it uses less digits than its factorization.

142271424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 579 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 142271424 is about 11927.7585488641. The cubic root of 142271424 is about 522.0425384808.

It can be divided in two parts, 14227 and 1424, that added together give a palindrome (15651).

The spelling of 142271424 in words is "one hundred forty-two million, two hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 281 288 293 432 562 576 586 843 864 879 1124 1172 1686 1728 1758 2248 2344 2529 2637 3372 3516 4496 4688 5058 5274 6744 7032 7587 7911 8992 9376 10116 10548 13488 14064 15174 15822 17984 18752 20232 21096 26976 28128 30348 31644 40464 42192 53952 56256 60696 63288 80928 82333 84384 121392 126576 161856 164666 168768 242784 246999 253152 329332 485568 493998 506304 658664 740997 987996 1317328 1481994 1975992 2222991 2634656 2963988 3951984 4445982 5269312 5927976 7903968 8891964 11855952 15807936 17783928 23711904 35567856 47423808 71135712 142271424