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142724124 = 2232193153127
BaseRepresentation
bin10001000000111…
…00110000011100
3100221120010200200
420200130300130
5243014132444
622055023500
73352064214
oct1040346034
9327503620
10142724124
1173622824
123b96ab90
132375225a
1414d53244
15c7e3969
hex881cc1c

142724124 has 144 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 42456960.

The previous prime is 142724119. The next prime is 142724149. The reversal of 142724124 is 421427241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1123749 + ... + 1123875.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2142724124 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 142724124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

142724124 is an abundant number, since it is smaller than the sum of its proper divisors (259830756).

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

142724124 is a wasteful number, since it uses less digits than its factorization.

142724124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 235 counting only the distinct ones).

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

The square root of 142724124 is about 11946.7202193740. The cubic root of 142724124 is about 522.5956559681.

The spelling of 142724124 in words is "one hundred forty-two million, seven hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 53 57 62 76 93 106 114 124 127 159 171 186 212 228 254 279 318 342 372 381 477 508 558 589 636 684 762 954 1007 1116 1143 1178 1524 1643 1767 1908 2014 2286 2356 2413 3021 3286 3534 3937 4028 4572 4826 4929 5301 6042 6572 6731 7068 7239 7874 9063 9652 9858 10602 11811 12084 13462 14478 14787 15748 18126 19716 20193 21204 21717 23622 26924 28956 29574 31217 35433 36252 40386 43434 47244 59148 60579 62434 70866 74803 80772 86868 93651 121158 124868 127889 141732 149606 187302 208661 224409 242316 255778 280953 299212 374604 383667 417322 448818 511556 561906 625983 673227 767334 834644 897636 1123812 1151001 1251966 1346454 1534668 1877949 2302002 2503932 2692908 3755898 3964559 4604004 7511796 7929118 11893677 15858236 23787354 35681031 47574708 71362062 142724124