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142437312 = 2633312659
BaseRepresentation
bin10000111110101…
…10101111000000
3100221000120021000
420133112233000
5242430443222
622044532000
73346461063
oct1037265700
9327016230
10142437312
1173447296
123b851000
1323681844
1414cba8da
15c7889ac
hex87d6bc0

142437312 has 112 divisors (see below), whose sum is σ = 432409600. Its totient is φ = 45930240.

The previous prime is 142437283. The next prime is 142437349. The reversal of 142437312 is 213734241.

It is a happy number.

142437312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52239 + ... + 54897.

It is an arithmetic number, because the mean of its divisors is an integer number (3860800).

Almost surely, 2142437312 is an apocalyptic number.

142437312 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 142437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216204800).

142437312 is an abundant number, since it is smaller than the sum of its proper divisors (289972288).

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

142437312 is a wasteful number, since it uses less digits than its factorization.

142437312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2695 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 142437312 is about 11934.7103860965. The cubic root of 142437312 is about 522.2453596174.

The spelling of 142437312 in words is "one hundred forty-two million, four hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2659 2976 3348 4464 5318 5952 6696 7977 8928 10636 13392 15954 17856 21272 23931 26784 31908 42544 47862 53568 63816 71793 82429 85088 95724 127632 143586 164858 170176 191448 247287 255264 287172 329716 382896 494574 510528 574344 659432 741861 765792 989148 1148688 1318864 1483722 1531584 1978296 2225583 2297376 2637728 2967444 3956592 4451166 4594752 5275456 5934888 7913184 8902332 11869776 15826368 17804664 23739552 35609328 47479104 71218656 142437312