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142041072 = 24329671523
BaseRepresentation
bin10000111011101…
…01111111110000
3100220021102201110
420131311333300
5242330303242
622032233320
73343220625
oct1035657760
9326242643
10142041072
11731a6618
123b69b840
1323573394
1414c1634c
15c70b39c
hex8775ff0

142041072 has 80 divisors (see below), whose sum is σ = 385511040. Its totient is φ = 45002496.

The previous prime is 142041049. The next prime is 142041149. The reversal of 142041072 is 270140241.

It is a happy number.

It is a super-2 number, since 2×1420410722 = 40351332269818368, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 92503 + ... + 94025.

It is an arithmetic number, because the mean of its divisors is an integer number (4818888).

Almost surely, 2142041072 is an apocalyptic number.

142041072 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 142041072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192755520).

142041072 is an abundant number, since it is smaller than the sum of its proper divisors (243469968).

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

142041072 is a wasteful number, since it uses less digits than its factorization.

142041072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 142041072 is about 11918.0985060537. The cubic root of 142041072 is about 521.7606395142.

The spelling of 142041072 in words is "one hundred forty-two million, forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 67 87 116 134 174 201 232 268 348 402 464 536 696 804 1072 1392 1523 1608 1943 3046 3216 3886 4569 5829 6092 7772 9138 11658 12184 15544 18276 23316 24368 31088 36552 44167 46632 73104 88334 93264 102041 132501 176668 204082 265002 306123 353336 408164 530004 612246 706672 816328 1060008 1224492 1632656 2120016 2448984 2959189 4897968 5918378 8877567 11836756 17755134 23673512 35510268 47347024 71020536 142041072