Search a number
-
+
142057314 = 236731449
BaseRepresentation
bin10000111011110…
…01111101100010
3100220022021000000
420131321331202
5242331313224
622032440430
73343316160
oct1035717542
9326267000
10142057314
1173207843
123b6a9116
132357a8a9
1414c1c230
15c7110c9
hex8779f62

142057314 has 112 divisors (see below), whose sum is σ = 377740800. Its totient is φ = 39191040.

The previous prime is 142057313. The next prime is 142057339. The reversal of 142057314 is 413750241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (142057313) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 316162 + ... + 316610.

Almost surely, 2142057314 is an apocalyptic number.

142057314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142057314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188870400).

142057314 is an abundant number, since it is smaller than the sum of its proper divisors (235683486).

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

142057314 is an equidigital number, since it uses as much as digits as its factorization.

142057314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 142057314 is about 11918.7798872200. The cubic root of 142057314 is about 521.7805260470.

The spelling of 142057314 in words is "one hundred forty-two million, fifty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 243 279 378 434 449 486 558 567 651 729 837 898 1134 1302 1347 1458 1674 1701 1953 2511 2694 3143 3402 3906 4041 5022 5103 5859 6286 7533 8082 9429 10206 11718 12123 13919 15066 17577 18858 22599 24246 27838 28287 35154 36369 41757 45198 52731 56574 72738 83514 84861 97433 105462 109107 125271 158193 169722 194866 218214 250542 254583 292299 316386 327321 375813 509166 584598 654642 751626 763749 876897 1127439 1527498 1753794 2254878 2291247 2630691 3382317 4582494 5261382 6764634 7892073 10146951 15784146 20293902 23676219 47352438 71028657 142057314