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142493312 = 2713194507
BaseRepresentation
bin10000111111001…
…00011010000000
3100221010102002002
420133210122000
5242434241222
622050043132
73350113253
oct1037443200
9327112062
10142493312
1173485375
123b8794a8
13236a1190
1414cd309a
15c79a392
hex87e4680

142493312 has 64 divisors (see below), whose sum is σ = 321871200. Its totient is φ = 62290944.

The previous prime is 142493311. The next prime is 142493333. The reversal of 142493312 is 213394241.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (142493311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29363 + ... + 33869.

Almost surely, 2142493312 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 142493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160935600).

142493312 is an abundant number, since it is smaller than the sum of its proper divisors (179377888).

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

142493312 is a wasteful number, since it uses less digits than its factorization.

142493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4541 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 142493312 is about 11937.0562535325. The cubic root of 142493312 is about 522.3137918464.

The spelling of 142493312 in words is "one hundred forty-two million, four hundred ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 416 494 608 832 988 1216 1664 1976 2432 3952 4507 7904 9014 15808 18028 31616 36056 58591 72112 85633 117182 144224 171266 234364 288448 342532 468728 576896 685064 937456 1113229 1370128 1874912 2226458 2740256 3749824 4452916 5480512 7499648 8905832 10961024 17811664 35623328 71246656 142493312